Solarity of sets in max-approximation problems
Abstract Let %${\mathrm {F}}_M%$ be the max-projection operator (the farthest point mapping) associated with a given set M. A set M is called a local %$\max %$-sun at a point %$x_0%$ if there is a farthest point %$\widehat{y}\in {\mathrm {F}}_Mx_0%$ and a number %$\delta >0%$ such that %$ \wideha...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Alimov, Alexey R. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Nature Switzerland AG 2019 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of fixed point theory and applications - Cham (ZG) : Springer International Publishing AG, 2007, 21(2019), 3 vom: 19. Juni |
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| Übergeordnetes Werk: |
volume:21 ; year:2019 ; number:3 ; day:19 ; month:06 |
| Links: |
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| DOI / URN: |
10.1007/s11784-019-0713-z |
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| Katalog-ID: |
SPR022410864 |
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| 100 | 1 | |a Alimov, Alexey R. |e verfasserin |0 (orcid)0000-0001-8806-1593 |4 aut | |
| 245 | 1 | 0 | |a Solarity of sets in max-approximation problems |
| 264 | 1 | |c 2019 | |
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| 520 | |a Abstract Let %${\mathrm {F}}_M%$ be the max-projection operator (the farthest point mapping) associated with a given set M. A set M is called a local %$\max %$-sun at a point %$x_0%$ if there is a farthest point %$\widehat{y}\in {\mathrm {F}}_Mx_0%$ and a number %$\delta >0%$ such that %$ \widehat{y} \in {\mathrm {F}}_Mx%$ for any point %$x\in \bigl [x_0, x_0+\delta (\widehat{y}-x_0)\bigr )%$. A set M is called a local %$\max %$-sun on a set U if M is a local %$\max %$-sun at any point %$x_0\in U%$. Some solarity and stability properties of the max-projection operator are established. Sufficient conditions in terms of the stability of the max-projection operator are given for a set to be a local %$\max %$-sun. | ||
| 650 | 4 | |a Farthest point |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a max-approximation |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a max-distance |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a sun |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a local max-sun |7 (dpeaa)DE-He213 | |
| 773 | 0 | 8 | |i Enthalten in |t Journal of fixed point theory and applications |d Cham (ZG) : Springer International Publishing AG, 2007 |g 21(2019), 3 vom: 19. Juni |w (DE-627)546007236 |w (DE-600)2389415-5 |x 1661-7746 |7 nnns |
| 773 | 1 | 8 | |g volume:21 |g year:2019 |g number:3 |g day:19 |g month:06 |
| 856 | 4 | 0 | |u https://dx.doi.org/10.1007/s11784-019-0713-z |z lizenzpflichtig |3 Volltext |
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10.1007/s11784-019-0713-z doi (DE-627)SPR022410864 (SPR)s11784-019-0713-z-e DE-627 ger DE-627 rakwb eng Alimov, Alexey R. verfasserin (orcid)0000-0001-8806-1593 aut Solarity of sets in max-approximation problems 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2019 Abstract Let %${\mathrm {F}}_M%$ be the max-projection operator (the farthest point mapping) associated with a given set M. A set M is called a local %$\max %$-sun at a point %$x_0%$ if there is a farthest point %$\widehat{y}\in {\mathrm {F}}_Mx_0%$ and a number %$\delta >0%$ such that %$ \widehat{y} \in {\mathrm {F}}_Mx%$ for any point %$x\in \bigl [x_0, x_0+\delta (\widehat{y}-x_0)\bigr )%$. A set M is called a local %$\max %$-sun on a set U if M is a local %$\max %$-sun at any point %$x_0\in U%$. Some solarity and stability properties of the max-projection operator are established. Sufficient conditions in terms of the stability of the max-projection operator are given for a set to be a local %$\max %$-sun. Farthest point (dpeaa)DE-He213 max-approximation (dpeaa)DE-He213 max-distance (dpeaa)DE-He213 sun (dpeaa)DE-He213 local max-sun (dpeaa)DE-He213 Enthalten in Journal of fixed point theory and applications Cham (ZG) : Springer International Publishing AG, 2007 21(2019), 3 vom: 19. Juni (DE-627)546007236 (DE-600)2389415-5 1661-7746 nnns volume:21 year:2019 number:3 day:19 month:06 https://dx.doi.org/10.1007/s11784-019-0713-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 21 2019 3 19 06 |
| spelling |
10.1007/s11784-019-0713-z doi (DE-627)SPR022410864 (SPR)s11784-019-0713-z-e DE-627 ger DE-627 rakwb eng Alimov, Alexey R. verfasserin (orcid)0000-0001-8806-1593 aut Solarity of sets in max-approximation problems 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2019 Abstract Let %${\mathrm {F}}_M%$ be the max-projection operator (the farthest point mapping) associated with a given set M. A set M is called a local %$\max %$-sun at a point %$x_0%$ if there is a farthest point %$\widehat{y}\in {\mathrm {F}}_Mx_0%$ and a number %$\delta >0%$ such that %$ \widehat{y} \in {\mathrm {F}}_Mx%$ for any point %$x\in \bigl [x_0, x_0+\delta (\widehat{y}-x_0)\bigr )%$. A set M is called a local %$\max %$-sun on a set U if M is a local %$\max %$-sun at any point %$x_0\in U%$. Some solarity and stability properties of the max-projection operator are established. Sufficient conditions in terms of the stability of the max-projection operator are given for a set to be a local %$\max %$-sun. Farthest point (dpeaa)DE-He213 max-approximation (dpeaa)DE-He213 max-distance (dpeaa)DE-He213 sun (dpeaa)DE-He213 local max-sun (dpeaa)DE-He213 Enthalten in Journal of fixed point theory and applications Cham (ZG) : Springer International Publishing AG, 2007 21(2019), 3 vom: 19. Juni (DE-627)546007236 (DE-600)2389415-5 1661-7746 nnns volume:21 year:2019 number:3 day:19 month:06 https://dx.doi.org/10.1007/s11784-019-0713-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 21 2019 3 19 06 |
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10.1007/s11784-019-0713-z doi (DE-627)SPR022410864 (SPR)s11784-019-0713-z-e DE-627 ger DE-627 rakwb eng Alimov, Alexey R. verfasserin (orcid)0000-0001-8806-1593 aut Solarity of sets in max-approximation problems 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2019 Abstract Let %${\mathrm {F}}_M%$ be the max-projection operator (the farthest point mapping) associated with a given set M. A set M is called a local %$\max %$-sun at a point %$x_0%$ if there is a farthest point %$\widehat{y}\in {\mathrm {F}}_Mx_0%$ and a number %$\delta >0%$ such that %$ \widehat{y} \in {\mathrm {F}}_Mx%$ for any point %$x\in \bigl [x_0, x_0+\delta (\widehat{y}-x_0)\bigr )%$. A set M is called a local %$\max %$-sun on a set U if M is a local %$\max %$-sun at any point %$x_0\in U%$. Some solarity and stability properties of the max-projection operator are established. Sufficient conditions in terms of the stability of the max-projection operator are given for a set to be a local %$\max %$-sun. Farthest point (dpeaa)DE-He213 max-approximation (dpeaa)DE-He213 max-distance (dpeaa)DE-He213 sun (dpeaa)DE-He213 local max-sun (dpeaa)DE-He213 Enthalten in Journal of fixed point theory and applications Cham (ZG) : Springer International Publishing AG, 2007 21(2019), 3 vom: 19. Juni (DE-627)546007236 (DE-600)2389415-5 1661-7746 nnns volume:21 year:2019 number:3 day:19 month:06 https://dx.doi.org/10.1007/s11784-019-0713-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 21 2019 3 19 06 |
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10.1007/s11784-019-0713-z doi (DE-627)SPR022410864 (SPR)s11784-019-0713-z-e DE-627 ger DE-627 rakwb eng Alimov, Alexey R. verfasserin (orcid)0000-0001-8806-1593 aut Solarity of sets in max-approximation problems 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2019 Abstract Let %${\mathrm {F}}_M%$ be the max-projection operator (the farthest point mapping) associated with a given set M. A set M is called a local %$\max %$-sun at a point %$x_0%$ if there is a farthest point %$\widehat{y}\in {\mathrm {F}}_Mx_0%$ and a number %$\delta >0%$ such that %$ \widehat{y} \in {\mathrm {F}}_Mx%$ for any point %$x\in \bigl [x_0, x_0+\delta (\widehat{y}-x_0)\bigr )%$. A set M is called a local %$\max %$-sun on a set U if M is a local %$\max %$-sun at any point %$x_0\in U%$. Some solarity and stability properties of the max-projection operator are established. Sufficient conditions in terms of the stability of the max-projection operator are given for a set to be a local %$\max %$-sun. Farthest point (dpeaa)DE-He213 max-approximation (dpeaa)DE-He213 max-distance (dpeaa)DE-He213 sun (dpeaa)DE-He213 local max-sun (dpeaa)DE-He213 Enthalten in Journal of fixed point theory and applications Cham (ZG) : Springer International Publishing AG, 2007 21(2019), 3 vom: 19. Juni (DE-627)546007236 (DE-600)2389415-5 1661-7746 nnns volume:21 year:2019 number:3 day:19 month:06 https://dx.doi.org/10.1007/s11784-019-0713-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 21 2019 3 19 06 |
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10.1007/s11784-019-0713-z doi (DE-627)SPR022410864 (SPR)s11784-019-0713-z-e DE-627 ger DE-627 rakwb eng Alimov, Alexey R. verfasserin (orcid)0000-0001-8806-1593 aut Solarity of sets in max-approximation problems 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2019 Abstract Let %${\mathrm {F}}_M%$ be the max-projection operator (the farthest point mapping) associated with a given set M. A set M is called a local %$\max %$-sun at a point %$x_0%$ if there is a farthest point %$\widehat{y}\in {\mathrm {F}}_Mx_0%$ and a number %$\delta >0%$ such that %$ \widehat{y} \in {\mathrm {F}}_Mx%$ for any point %$x\in \bigl [x_0, x_0+\delta (\widehat{y}-x_0)\bigr )%$. A set M is called a local %$\max %$-sun on a set U if M is a local %$\max %$-sun at any point %$x_0\in U%$. Some solarity and stability properties of the max-projection operator are established. Sufficient conditions in terms of the stability of the max-projection operator are given for a set to be a local %$\max %$-sun. Farthest point (dpeaa)DE-He213 max-approximation (dpeaa)DE-He213 max-distance (dpeaa)DE-He213 sun (dpeaa)DE-He213 local max-sun (dpeaa)DE-He213 Enthalten in Journal of fixed point theory and applications Cham (ZG) : Springer International Publishing AG, 2007 21(2019), 3 vom: 19. Juni (DE-627)546007236 (DE-600)2389415-5 1661-7746 nnns volume:21 year:2019 number:3 day:19 month:06 https://dx.doi.org/10.1007/s11784-019-0713-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 21 2019 3 19 06 |
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Enthalten in Journal of fixed point theory and applications 21(2019), 3 vom: 19. Juni volume:21 year:2019 number:3 day:19 month:06 |
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| author |
Alimov, Alexey R. |
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Alimov, Alexey R. misc Farthest point misc max-approximation misc max-distance misc sun misc local max-sun Solarity of sets in max-approximation problems |
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Alimov, Alexey R. |
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Solarity of sets in max-approximation problems Farthest point (dpeaa)DE-He213 max-approximation (dpeaa)DE-He213 max-distance (dpeaa)DE-He213 sun (dpeaa)DE-He213 local max-sun (dpeaa)DE-He213 |
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misc Farthest point misc max-approximation misc max-distance misc sun misc local max-sun |
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Elektronische Aufsätze Aufsätze Elektronische Ressource |
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Solarity of sets in max-approximation problems |
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Journal of fixed point theory and applications |
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Journal of fixed point theory and applications |
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solarity of sets in max-approximation problems |
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Solarity of sets in max-approximation problems |
| abstract |
Abstract Let %${\mathrm {F}}_M%$ be the max-projection operator (the farthest point mapping) associated with a given set M. A set M is called a local %$\max %$-sun at a point %$x_0%$ if there is a farthest point %$\widehat{y}\in {\mathrm {F}}_Mx_0%$ and a number %$\delta >0%$ such that %$ \widehat{y} \in {\mathrm {F}}_Mx%$ for any point %$x\in \bigl [x_0, x_0+\delta (\widehat{y}-x_0)\bigr )%$. A set M is called a local %$\max %$-sun on a set U if M is a local %$\max %$-sun at any point %$x_0\in U%$. Some solarity and stability properties of the max-projection operator are established. Sufficient conditions in terms of the stability of the max-projection operator are given for a set to be a local %$\max %$-sun. © Springer Nature Switzerland AG 2019 |
| abstractGer |
Abstract Let %${\mathrm {F}}_M%$ be the max-projection operator (the farthest point mapping) associated with a given set M. A set M is called a local %$\max %$-sun at a point %$x_0%$ if there is a farthest point %$\widehat{y}\in {\mathrm {F}}_Mx_0%$ and a number %$\delta >0%$ such that %$ \widehat{y} \in {\mathrm {F}}_Mx%$ for any point %$x\in \bigl [x_0, x_0+\delta (\widehat{y}-x_0)\bigr )%$. A set M is called a local %$\max %$-sun on a set U if M is a local %$\max %$-sun at any point %$x_0\in U%$. Some solarity and stability properties of the max-projection operator are established. Sufficient conditions in terms of the stability of the max-projection operator are given for a set to be a local %$\max %$-sun. © Springer Nature Switzerland AG 2019 |
| abstract_unstemmed |
Abstract Let %${\mathrm {F}}_M%$ be the max-projection operator (the farthest point mapping) associated with a given set M. A set M is called a local %$\max %$-sun at a point %$x_0%$ if there is a farthest point %$\widehat{y}\in {\mathrm {F}}_Mx_0%$ and a number %$\delta >0%$ such that %$ \widehat{y} \in {\mathrm {F}}_Mx%$ for any point %$x\in \bigl [x_0, x_0+\delta (\widehat{y}-x_0)\bigr )%$. A set M is called a local %$\max %$-sun on a set U if M is a local %$\max %$-sun at any point %$x_0\in U%$. Some solarity and stability properties of the max-projection operator are established. Sufficient conditions in terms of the stability of the max-projection operator are given for a set to be a local %$\max %$-sun. © Springer Nature Switzerland AG 2019 |
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Solarity of sets in max-approximation problems |
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https://dx.doi.org/10.1007/s11784-019-0713-z |
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2024-07-04T02:58:19.534Z |
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