Minimax theorems for set-valued maps without continuity assumptions
We introduce several classes of set-valued maps with new generalized convexity properties. We also obtain minimax theorems for set-valued maps which satisfy these convexity assumptions and which are not continuous. Our method consists of the use of a fixed point theorem for weakly naturally quasicon...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Patriche, Monica [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Rechteinformationen: |
Nutzungsrecht: © 2015 Taylor & Francis 2015 |
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| Schlagwörter: |
weakly z-convex set-valued map weakly naturally quasiconcave set-valued map transfer properly S-quasiconvex |
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| Übergeordnetes Werk: |
Enthalten in: Optimization - Reading [u.a] : Taylor & Francis, 1985, 65(2016), 5, Seite 957 |
|---|---|
| Übergeordnetes Werk: |
volume:65 ; year:2016 ; number:5 ; pages:957 |
| Links: |
|---|
| DOI / URN: |
10.1080/02331934.2015.1091822 |
|---|
| Katalog-ID: |
OLC1975324471 |
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| 520 | |a We introduce several classes of set-valued maps with new generalized convexity properties. We also obtain minimax theorems for set-valued maps which satisfy these convexity assumptions and which are not continuous. Our method consists of the use of a fixed point theorem for weakly naturally quasiconcave set-valued maps, defined on a simplex in a topological vector space, or of a constant selection of quasiconvex set-valued maps. | ||
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| 650 | 4 | |a convex set-valued map | |
| 650 | 4 | |a weakly z-convex set-valued map | |
| 650 | 4 | |a S-transfer | |
| 650 | 4 | |a weakly naturally quasiconcave set-valued map | |
| 650 | 4 | |a 90C47 | |
| 650 | 4 | |a minimax theorems | |
| 650 | 4 | |a transfer properly S-quasiconvex | |
| 650 | 4 | |a fixed point theorem | |
| 650 | 4 | |a S-transfer [Formula omitted.] -convex set-valued map | |
| 650 | 4 | |a Theorems | |
| 650 | 4 | |a Maps | |
| 650 | 4 | |a Optimization and Control | |
| 650 | 4 | |a Mathematics | |
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10.1080/02331934.2015.1091822 doi PQ20160610 (DE-627)OLC1975324471 (DE-599)GBVOLC1975324471 (PRQ)a1741-e75bad3607da41e313cb1c460b65e322030752f54c4fb82b75e20f31b26729710 (KEY)0092524120160000065000500957minimaxtheoremsforsetvaluedmapswithoutcontinuityas DE-627 ger DE-627 rakwb eng 28 004 DE-101 510 AVZ Patriche, Monica verfasserin aut Minimax theorems for set-valued maps without continuity assumptions 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier We introduce several classes of set-valued maps with new generalized convexity properties. We also obtain minimax theorems for set-valued maps which satisfy these convexity assumptions and which are not continuous. Our method consists of the use of a fixed point theorem for weakly naturally quasiconcave set-valued maps, defined on a simplex in a topological vector space, or of a constant selection of quasiconvex set-valued maps. Nutzungsrecht: © 2015 Taylor & Francis 2015 49J35 convex set-valued map weakly z-convex set-valued map S-transfer weakly naturally quasiconcave set-valued map 90C47 minimax theorems transfer properly S-quasiconvex fixed point theorem S-transfer [Formula omitted.] -convex set-valued map Theorems Maps Optimization and Control Mathematics Enthalten in Optimization Reading [u.a] : Taylor & Francis, 1985 65(2016), 5, Seite 957 (DE-627)13041199X (DE-600)622846-X (DE-576)015914984 0233-1934 nnns volume:65 year:2016 number:5 pages:957 http://dx.doi.org/10.1080/02331934.2015.1091822 Volltext http://www.tandfonline.com/doi/abs/10.1080/02331934.2015.1091822 http://search.proquest.com/docview/1778492398 http://arxiv.org/abs/1304.0339 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_69 GBV_ILN_70 GBV_ILN_4700 AR 65 2016 5 957 |
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Minimax theorems for set-valued maps without continuity assumptions |
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Minimax theorems for set-valued maps without continuity assumptions |
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Patriche, Monica |
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Optimization |
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minimax theorems for set-valued maps without continuity assumptions |
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Minimax theorems for set-valued maps without continuity assumptions |
| abstract |
We introduce several classes of set-valued maps with new generalized convexity properties. We also obtain minimax theorems for set-valued maps which satisfy these convexity assumptions and which are not continuous. Our method consists of the use of a fixed point theorem for weakly naturally quasiconcave set-valued maps, defined on a simplex in a topological vector space, or of a constant selection of quasiconvex set-valued maps. |
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We introduce several classes of set-valued maps with new generalized convexity properties. We also obtain minimax theorems for set-valued maps which satisfy these convexity assumptions and which are not continuous. Our method consists of the use of a fixed point theorem for weakly naturally quasiconcave set-valued maps, defined on a simplex in a topological vector space, or of a constant selection of quasiconvex set-valued maps. |
| abstract_unstemmed |
We introduce several classes of set-valued maps with new generalized convexity properties. We also obtain minimax theorems for set-valued maps which satisfy these convexity assumptions and which are not continuous. Our method consists of the use of a fixed point theorem for weakly naturally quasiconcave set-valued maps, defined on a simplex in a topological vector space, or of a constant selection of quasiconvex set-valued maps. |
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Minimax theorems for set-valued maps without continuity assumptions |
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http://dx.doi.org/10.1080/02331934.2015.1091822 http://www.tandfonline.com/doi/abs/10.1080/02331934.2015.1091822 http://search.proquest.com/docview/1778492398 http://arxiv.org/abs/1304.0339 |
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