The existence of best proximity points for multivalued non-self-mappings
Abstract Let A, B be nonempty subsets of a metric space (X, d) and T : A → $ 2^{B} $ be a multivalued non-self-mapping. The purpose of this paper is to establish some theorems on the existence of a point %${x^*\in A}%$ , called best proximity point, which satisfies %${{\rm inf}\{d(x^*,y):y\in Tx^*\}...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Abkar, A. [verfasserIn] Gabeleh, M. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales - Heidelberg [u.a.] : Springer, 2001, 107(2012), 2 vom: 01. Juli, Seite 319-325 |
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| Übergeordnetes Werk: |
volume:107 ; year:2012 ; number:2 ; day:01 ; month:07 ; pages:319-325 |
| Links: |
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| DOI / URN: |
10.1007/s13398-012-0074-6 |
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| Katalog-ID: |
SPR031578675 |
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| 100 | 1 | |a Abkar, A. |e verfasserin |4 aut | |
| 245 | 1 | 4 | |a The existence of best proximity points for multivalued non-self-mappings |
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| 520 | |a Abstract Let A, B be nonempty subsets of a metric space (X, d) and T : A → $ 2^{B} $ be a multivalued non-self-mapping. The purpose of this paper is to establish some theorems on the existence of a point %${x^*\in A}%$ , called best proximity point, which satisfies %${{\rm inf}\{d(x^*,y):y\in Tx^*\}=dist(A,B).}%$ This will be done for contraction multivalued non-self-mappings in metric spaces, as well as for nonexpansive multivalued non-self-mappings in Banach spaces having appropriate geometric property. | ||
| 650 | 4 | |a Contraction mapping |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Nonexpansive mapping |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Best proximity point |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Fixed point |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Gabeleh, M. |e verfasserin |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales |d Heidelberg [u.a.] : Springer, 2001 |g 107(2012), 2 vom: 01. Juli, Seite 319-325 |w (DE-627)495744433 |w (DE-600)2198482-7 |x 1579-1505 |7 nnns |
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10.1007/s13398-012-0074-6 doi (DE-627)SPR031578675 (SPR)s13398-012-0074-6-e DE-627 ger DE-627 rakwb eng 510 ASE Abkar, A. verfasserin aut The existence of best proximity points for multivalued non-self-mappings 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let A, B be nonempty subsets of a metric space (X, d) and T : A → $ 2^{B} $ be a multivalued non-self-mapping. The purpose of this paper is to establish some theorems on the existence of a point %${x^*\in A}%$ , called best proximity point, which satisfies %${{\rm inf}\{d(x^*,y):y\in Tx^*\}=dist(A,B).}%$ This will be done for contraction multivalued non-self-mappings in metric spaces, as well as for nonexpansive multivalued non-self-mappings in Banach spaces having appropriate geometric property. Contraction mapping (dpeaa)DE-He213 Nonexpansive mapping (dpeaa)DE-He213 Best proximity point (dpeaa)DE-He213 Fixed point (dpeaa)DE-He213 Gabeleh, M. verfasserin aut Enthalten in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales Heidelberg [u.a.] : Springer, 2001 107(2012), 2 vom: 01. Juli, Seite 319-325 (DE-627)495744433 (DE-600)2198482-7 1579-1505 nnns volume:107 year:2012 number:2 day:01 month:07 pages:319-325 https://dx.doi.org/10.1007/s13398-012-0074-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 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 107 2012 2 01 07 319-325 |
| spelling |
10.1007/s13398-012-0074-6 doi (DE-627)SPR031578675 (SPR)s13398-012-0074-6-e DE-627 ger DE-627 rakwb eng 510 ASE Abkar, A. verfasserin aut The existence of best proximity points for multivalued non-self-mappings 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let A, B be nonempty subsets of a metric space (X, d) and T : A → $ 2^{B} $ be a multivalued non-self-mapping. The purpose of this paper is to establish some theorems on the existence of a point %${x^*\in A}%$ , called best proximity point, which satisfies %${{\rm inf}\{d(x^*,y):y\in Tx^*\}=dist(A,B).}%$ This will be done for contraction multivalued non-self-mappings in metric spaces, as well as for nonexpansive multivalued non-self-mappings in Banach spaces having appropriate geometric property. Contraction mapping (dpeaa)DE-He213 Nonexpansive mapping (dpeaa)DE-He213 Best proximity point (dpeaa)DE-He213 Fixed point (dpeaa)DE-He213 Gabeleh, M. verfasserin aut Enthalten in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales Heidelberg [u.a.] : Springer, 2001 107(2012), 2 vom: 01. Juli, Seite 319-325 (DE-627)495744433 (DE-600)2198482-7 1579-1505 nnns volume:107 year:2012 number:2 day:01 month:07 pages:319-325 https://dx.doi.org/10.1007/s13398-012-0074-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 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 107 2012 2 01 07 319-325 |
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10.1007/s13398-012-0074-6 doi (DE-627)SPR031578675 (SPR)s13398-012-0074-6-e DE-627 ger DE-627 rakwb eng 510 ASE Abkar, A. verfasserin aut The existence of best proximity points for multivalued non-self-mappings 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let A, B be nonempty subsets of a metric space (X, d) and T : A → $ 2^{B} $ be a multivalued non-self-mapping. The purpose of this paper is to establish some theorems on the existence of a point %${x^*\in A}%$ , called best proximity point, which satisfies %${{\rm inf}\{d(x^*,y):y\in Tx^*\}=dist(A,B).}%$ This will be done for contraction multivalued non-self-mappings in metric spaces, as well as for nonexpansive multivalued non-self-mappings in Banach spaces having appropriate geometric property. Contraction mapping (dpeaa)DE-He213 Nonexpansive mapping (dpeaa)DE-He213 Best proximity point (dpeaa)DE-He213 Fixed point (dpeaa)DE-He213 Gabeleh, M. verfasserin aut Enthalten in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales Heidelberg [u.a.] : Springer, 2001 107(2012), 2 vom: 01. Juli, Seite 319-325 (DE-627)495744433 (DE-600)2198482-7 1579-1505 nnns volume:107 year:2012 number:2 day:01 month:07 pages:319-325 https://dx.doi.org/10.1007/s13398-012-0074-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 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 107 2012 2 01 07 319-325 |
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10.1007/s13398-012-0074-6 doi (DE-627)SPR031578675 (SPR)s13398-012-0074-6-e DE-627 ger DE-627 rakwb eng 510 ASE Abkar, A. verfasserin aut The existence of best proximity points for multivalued non-self-mappings 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let A, B be nonempty subsets of a metric space (X, d) and T : A → $ 2^{B} $ be a multivalued non-self-mapping. The purpose of this paper is to establish some theorems on the existence of a point %${x^*\in A}%$ , called best proximity point, which satisfies %${{\rm inf}\{d(x^*,y):y\in Tx^*\}=dist(A,B).}%$ This will be done for contraction multivalued non-self-mappings in metric spaces, as well as for nonexpansive multivalued non-self-mappings in Banach spaces having appropriate geometric property. Contraction mapping (dpeaa)DE-He213 Nonexpansive mapping (dpeaa)DE-He213 Best proximity point (dpeaa)DE-He213 Fixed point (dpeaa)DE-He213 Gabeleh, M. verfasserin aut Enthalten in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales Heidelberg [u.a.] : Springer, 2001 107(2012), 2 vom: 01. Juli, Seite 319-325 (DE-627)495744433 (DE-600)2198482-7 1579-1505 nnns volume:107 year:2012 number:2 day:01 month:07 pages:319-325 https://dx.doi.org/10.1007/s13398-012-0074-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 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 107 2012 2 01 07 319-325 |
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Enthalten in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales 107(2012), 2 vom: 01. Juli, Seite 319-325 volume:107 year:2012 number:2 day:01 month:07 pages:319-325 |
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Abkar, A. |
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Abkar, A. ddc 510 misc Contraction mapping misc Nonexpansive mapping misc Best proximity point misc Fixed point The existence of best proximity points for multivalued non-self-mappings |
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510 ASE The existence of best proximity points for multivalued non-self-mappings Contraction mapping (dpeaa)DE-He213 Nonexpansive mapping (dpeaa)DE-He213 Best proximity point (dpeaa)DE-He213 Fixed point (dpeaa)DE-He213 |
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ddc 510 misc Contraction mapping misc Nonexpansive mapping misc Best proximity point misc Fixed point |
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ddc 510 misc Contraction mapping misc Nonexpansive mapping misc Best proximity point misc Fixed point |
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The existence of best proximity points for multivalued non-self-mappings |
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existence of best proximity points for multivalued non-self-mappings |
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The existence of best proximity points for multivalued non-self-mappings |
| abstract |
Abstract Let A, B be nonempty subsets of a metric space (X, d) and T : A → $ 2^{B} $ be a multivalued non-self-mapping. The purpose of this paper is to establish some theorems on the existence of a point %${x^*\in A}%$ , called best proximity point, which satisfies %${{\rm inf}\{d(x^*,y):y\in Tx^*\}=dist(A,B).}%$ This will be done for contraction multivalued non-self-mappings in metric spaces, as well as for nonexpansive multivalued non-self-mappings in Banach spaces having appropriate geometric property. |
| abstractGer |
Abstract Let A, B be nonempty subsets of a metric space (X, d) and T : A → $ 2^{B} $ be a multivalued non-self-mapping. The purpose of this paper is to establish some theorems on the existence of a point %${x^*\in A}%$ , called best proximity point, which satisfies %${{\rm inf}\{d(x^*,y):y\in Tx^*\}=dist(A,B).}%$ This will be done for contraction multivalued non-self-mappings in metric spaces, as well as for nonexpansive multivalued non-self-mappings in Banach spaces having appropriate geometric property. |
| abstract_unstemmed |
Abstract Let A, B be nonempty subsets of a metric space (X, d) and T : A → $ 2^{B} $ be a multivalued non-self-mapping. The purpose of this paper is to establish some theorems on the existence of a point %${x^*\in A}%$ , called best proximity point, which satisfies %${{\rm inf}\{d(x^*,y):y\in Tx^*\}=dist(A,B).}%$ This will be done for contraction multivalued non-self-mappings in metric spaces, as well as for nonexpansive multivalued non-self-mappings in Banach spaces having appropriate geometric property. |
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2 |
| title_short |
The existence of best proximity points for multivalued non-self-mappings |
| url |
https://dx.doi.org/10.1007/s13398-012-0074-6 |
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true |
| author2 |
Gabeleh, M. |
| author2Str |
Gabeleh, M. |
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| doi_str |
10.1007/s13398-012-0074-6 |
| up_date |
2024-07-04T00:22:36.842Z |
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