Properties of K-Additive Set-Valued Maps

Abstract For monoids X, Y and a submonoid %$K\subset Y%$ we define a K-additive set-valued map %$F:X\rightarrow 2^Y%$ as a map which is additive “modulo K”. In the paper fundamental properties of K-additive set-valued maps are studied. Among others, we prove that in the class of K-additive set-value...
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Autor*in:	Jablońska, Eliza [verfasserIn] Jabłoński, Wojciech

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	-additive set-valued map -Jensen set-valued map -boundedness -continuity null-finite set -homogeneity set

Anmerkung:	© The Author(s) 2023

Übergeordnetes Werk:	Enthalten in: Results in mathematics - Berlin : Springer, 1978, 78(2023), 6 vom: 27. Aug.
Übergeordnetes Werk:	volume:78 ; year:2023 ; number:6 ; day:27 ; month:08

Links:	Volltext

DOI / URN:	10.1007/s00025-023-02002-5

Katalog-ID:	SPR052886646

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520			\|a Abstract For monoids X, Y and a submonoid %$K\subset Y%$ we define a K-additive set-valued map %$F:X\rightarrow 2^Y%$ as a map which is additive “modulo K”. In the paper fundamental properties of K-additive set-valued maps are studied. Among others, we prove that in the class of K-additive set-valued maps K-lower (or weakly K-upper) boundedness on a “large” set implies K-continuity on the domain, as well as K-continuity implies K-homogeneity. We also study an algebraic structure of the K-homogeneity set for K-additive set-valued maps.
650		4	\|a -additive set-valued map \|7 (dpeaa)DE-He213
650		4	\|a -Jensen set-valued map \|7 (dpeaa)DE-He213
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650		4	\|a -homogeneity set \|7 (dpeaa)DE-He213
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allfields	10.1007/s00025-023-02002-5 doi (DE-627)SPR052886646 (SPR)s00025-023-02002-5-e DE-627 ger DE-627 rakwb eng Jablońska, Eliza verfasserin (orcid)0000-0002-0347-0214 aut Properties of K-Additive Set-Valued Maps 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract For monoids X, Y and a submonoid %$K\subset Y%$ we define a K-additive set-valued map %$F:X\rightarrow 2^Y%$ as a map which is additive “modulo K”. In the paper fundamental properties of K-additive set-valued maps are studied. Among others, we prove that in the class of K-additive set-valued maps K-lower (or weakly K-upper) boundedness on a “large” set implies K-continuity on the domain, as well as K-continuity implies K-homogeneity. We also study an algebraic structure of the K-homogeneity set for K-additive set-valued maps. -additive set-valued map (dpeaa)DE-He213 -Jensen set-valued map (dpeaa)DE-He213 -boundedness (dpeaa)DE-He213 -continuity (dpeaa)DE-He213 null-finite set (dpeaa)DE-He213 -homogeneity set (dpeaa)DE-He213 Jabłoński, Wojciech aut Enthalten in Results in mathematics Berlin : Springer, 1978 78(2023), 6 vom: 27. Aug. (DE-627)327046066 (DE-600)2043519-8 1420-9012 nnns volume:78 year:2023 number:6 day:27 month:08 https://dx.doi.org/10.1007/s00025-023-02002-5 kostenfrei 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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_2118 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_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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 78 2023 6 27 08
spelling	10.1007/s00025-023-02002-5 doi (DE-627)SPR052886646 (SPR)s00025-023-02002-5-e DE-627 ger DE-627 rakwb eng Jablońska, Eliza verfasserin (orcid)0000-0002-0347-0214 aut Properties of K-Additive Set-Valued Maps 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract For monoids X, Y and a submonoid %$K\subset Y%$ we define a K-additive set-valued map %$F:X\rightarrow 2^Y%$ as a map which is additive “modulo K”. In the paper fundamental properties of K-additive set-valued maps are studied. Among others, we prove that in the class of K-additive set-valued maps K-lower (or weakly K-upper) boundedness on a “large” set implies K-continuity on the domain, as well as K-continuity implies K-homogeneity. We also study an algebraic structure of the K-homogeneity set for K-additive set-valued maps. -additive set-valued map (dpeaa)DE-He213 -Jensen set-valued map (dpeaa)DE-He213 -boundedness (dpeaa)DE-He213 -continuity (dpeaa)DE-He213 null-finite set (dpeaa)DE-He213 -homogeneity set (dpeaa)DE-He213 Jabłoński, Wojciech aut Enthalten in Results in mathematics Berlin : Springer, 1978 78(2023), 6 vom: 27. Aug. (DE-627)327046066 (DE-600)2043519-8 1420-9012 nnns volume:78 year:2023 number:6 day:27 month:08 https://dx.doi.org/10.1007/s00025-023-02002-5 kostenfrei 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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_2118 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_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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 78 2023 6 27 08
allfields_unstemmed	10.1007/s00025-023-02002-5 doi (DE-627)SPR052886646 (SPR)s00025-023-02002-5-e DE-627 ger DE-627 rakwb eng Jablońska, Eliza verfasserin (orcid)0000-0002-0347-0214 aut Properties of K-Additive Set-Valued Maps 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract For monoids X, Y and a submonoid %$K\subset Y%$ we define a K-additive set-valued map %$F:X\rightarrow 2^Y%$ as a map which is additive “modulo K”. In the paper fundamental properties of K-additive set-valued maps are studied. Among others, we prove that in the class of K-additive set-valued maps K-lower (or weakly K-upper) boundedness on a “large” set implies K-continuity on the domain, as well as K-continuity implies K-homogeneity. We also study an algebraic structure of the K-homogeneity set for K-additive set-valued maps. -additive set-valued map (dpeaa)DE-He213 -Jensen set-valued map (dpeaa)DE-He213 -boundedness (dpeaa)DE-He213 -continuity (dpeaa)DE-He213 null-finite set (dpeaa)DE-He213 -homogeneity set (dpeaa)DE-He213 Jabłoński, Wojciech aut Enthalten in Results in mathematics Berlin : Springer, 1978 78(2023), 6 vom: 27. Aug. (DE-627)327046066 (DE-600)2043519-8 1420-9012 nnns volume:78 year:2023 number:6 day:27 month:08 https://dx.doi.org/10.1007/s00025-023-02002-5 kostenfrei 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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_2118 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_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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 78 2023 6 27 08
allfieldsGer	10.1007/s00025-023-02002-5 doi (DE-627)SPR052886646 (SPR)s00025-023-02002-5-e DE-627 ger DE-627 rakwb eng Jablońska, Eliza verfasserin (orcid)0000-0002-0347-0214 aut Properties of K-Additive Set-Valued Maps 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract For monoids X, Y and a submonoid %$K\subset Y%$ we define a K-additive set-valued map %$F:X\rightarrow 2^Y%$ as a map which is additive “modulo K”. In the paper fundamental properties of K-additive set-valued maps are studied. Among others, we prove that in the class of K-additive set-valued maps K-lower (or weakly K-upper) boundedness on a “large” set implies K-continuity on the domain, as well as K-continuity implies K-homogeneity. We also study an algebraic structure of the K-homogeneity set for K-additive set-valued maps. -additive set-valued map (dpeaa)DE-He213 -Jensen set-valued map (dpeaa)DE-He213 -boundedness (dpeaa)DE-He213 -continuity (dpeaa)DE-He213 null-finite set (dpeaa)DE-He213 -homogeneity set (dpeaa)DE-He213 Jabłoński, Wojciech aut Enthalten in Results in mathematics Berlin : Springer, 1978 78(2023), 6 vom: 27. Aug. (DE-627)327046066 (DE-600)2043519-8 1420-9012 nnns volume:78 year:2023 number:6 day:27 month:08 https://dx.doi.org/10.1007/s00025-023-02002-5 kostenfrei 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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_2118 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_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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 78 2023 6 27 08
allfieldsSound	10.1007/s00025-023-02002-5 doi (DE-627)SPR052886646 (SPR)s00025-023-02002-5-e DE-627 ger DE-627 rakwb eng Jablońska, Eliza verfasserin (orcid)0000-0002-0347-0214 aut Properties of K-Additive Set-Valued Maps 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract For monoids X, Y and a submonoid %$K\subset Y%$ we define a K-additive set-valued map %$F:X\rightarrow 2^Y%$ as a map which is additive “modulo K”. In the paper fundamental properties of K-additive set-valued maps are studied. Among others, we prove that in the class of K-additive set-valued maps K-lower (or weakly K-upper) boundedness on a “large” set implies K-continuity on the domain, as well as K-continuity implies K-homogeneity. We also study an algebraic structure of the K-homogeneity set for K-additive set-valued maps. -additive set-valued map (dpeaa)DE-He213 -Jensen set-valued map (dpeaa)DE-He213 -boundedness (dpeaa)DE-He213 -continuity (dpeaa)DE-He213 null-finite set (dpeaa)DE-He213 -homogeneity set (dpeaa)DE-He213 Jabłoński, Wojciech aut Enthalten in Results in mathematics Berlin : Springer, 1978 78(2023), 6 vom: 27. Aug. (DE-627)327046066 (DE-600)2043519-8 1420-9012 nnns volume:78 year:2023 number:6 day:27 month:08 https://dx.doi.org/10.1007/s00025-023-02002-5 kostenfrei 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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_2118 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_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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 78 2023 6 27 08
language	English
source	Enthalten in Results in mathematics 78(2023), 6 vom: 27. Aug. volume:78 year:2023 number:6 day:27 month:08
sourceStr	Enthalten in Results in mathematics 78(2023), 6 vom: 27. Aug. volume:78 year:2023 number:6 day:27 month:08
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	-additive set-valued map -Jensen set-valued map -boundedness -continuity null-finite set -homogeneity set
isfreeaccess_bool	true
container_title	Results in mathematics
authorswithroles_txt_mv	Jablońska, Eliza @@aut@@ Jabłoński, Wojciech @@aut@@
publishDateDaySort_date	2023-08-27T00:00:00Z
hierarchy_top_id	327046066
id	SPR052886646
language_de	englisch
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author	Jablońska, Eliza
spellingShingle	Jablońska, Eliza misc -additive set-valued map misc -Jensen set-valued map misc -boundedness misc -continuity misc null-finite set misc -homogeneity set Properties of K-Additive Set-Valued Maps
authorStr	Jablońska, Eliza
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topic_title	Properties of K-Additive Set-Valued Maps -additive set-valued map (dpeaa)DE-He213 -Jensen set-valued map (dpeaa)DE-He213 -boundedness (dpeaa)DE-He213 -continuity (dpeaa)DE-He213 null-finite set (dpeaa)DE-He213 -homogeneity set (dpeaa)DE-He213
topic	misc -additive set-valued map misc -Jensen set-valued map misc -boundedness misc -continuity misc null-finite set misc -homogeneity set
topic_unstemmed	misc -additive set-valued map misc -Jensen set-valued map misc -boundedness misc -continuity misc null-finite set misc -homogeneity set
topic_browse	misc -additive set-valued map misc -Jensen set-valued map misc -boundedness misc -continuity misc null-finite set misc -homogeneity set
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title	Properties of K-Additive Set-Valued Maps
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title_full	Properties of K-Additive Set-Valued Maps
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author_browse	Jablońska, Eliza Jabłoński, Wojciech
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title_sort	properties of k-additive set-valued maps
title_auth	Properties of K-Additive Set-Valued Maps
abstract	Abstract For monoids X, Y and a submonoid %$K\subset Y%$ we define a K-additive set-valued map %$F:X\rightarrow 2^Y%$ as a map which is additive “modulo K”. In the paper fundamental properties of K-additive set-valued maps are studied. Among others, we prove that in the class of K-additive set-valued maps K-lower (or weakly K-upper) boundedness on a “large” set implies K-continuity on the domain, as well as K-continuity implies K-homogeneity. We also study an algebraic structure of the K-homogeneity set for K-additive set-valued maps. © The Author(s) 2023
abstractGer	Abstract For monoids X, Y and a submonoid %$K\subset Y%$ we define a K-additive set-valued map %$F:X\rightarrow 2^Y%$ as a map which is additive “modulo K”. In the paper fundamental properties of K-additive set-valued maps are studied. Among others, we prove that in the class of K-additive set-valued maps K-lower (or weakly K-upper) boundedness on a “large” set implies K-continuity on the domain, as well as K-continuity implies K-homogeneity. We also study an algebraic structure of the K-homogeneity set for K-additive set-valued maps. © The Author(s) 2023
abstract_unstemmed	Abstract For monoids X, Y and a submonoid %$K\subset Y%$ we define a K-additive set-valued map %$F:X\rightarrow 2^Y%$ as a map which is additive “modulo K”. In the paper fundamental properties of K-additive set-valued maps are studied. Among others, we prove that in the class of K-additive set-valued maps K-lower (or weakly K-upper) boundedness on a “large” set implies K-continuity on the domain, as well as K-continuity implies K-homogeneity. We also study an algebraic structure of the K-homogeneity set for K-additive set-valued maps. © The Author(s) 2023
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title_short	Properties of K-Additive Set-Valued Maps
url	https://dx.doi.org/10.1007/s00025-023-02002-5
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up_date	2024-07-03T15:30:02Z
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In the paper fundamental properties of K-additive set-valued maps are studied. Among others, we prove that in the class of K-additive set-valued maps K-lower (or weakly K-upper) boundedness on a “large” set implies K-continuity on the domain, as well as K-continuity implies K-homogeneity. 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