Fixed points, maximal elements and equilibria of generalized games in abstract convex spaces (Q1938308)
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scientific article; zbMATH DE number 6134173
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed points, maximal elements and equilibria of generalized games in abstract convex spaces |
scientific article; zbMATH DE number 6134173 |
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Fixed points, maximal elements and equilibria of generalized games in abstract convex spaces (English)
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4 February 2013
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Summary: We firstly prove some new fixed point theorems for set-valued mappings in noncompact abstract convex spaces. Next, two existence theorems of maximal elements for class of \(\mathcal A_{C, \theta}\) mapping and \(\mathcal A_{C, \theta}\)-majorized mapping are obtained. As applications, we establish new equilibria existence theorems for qualitative games and generalized games. Our theorems improve and generalize the most known results in recent literature.
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fixed point
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set-valued mapping
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noncompactness
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abstract convex space
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majorized mapping
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qualitative game
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generalized game
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