Fixed point and equilibrium theorems in a generalized convexity framework (Q1949574)
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scientific article; zbMATH DE number 6161536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point and equilibrium theorems in a generalized convexity framework |
scientific article; zbMATH DE number 6161536 |
Statements
Fixed point and equilibrium theorems in a generalized convexity framework (English)
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8 May 2013
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Several types of nonconvex valued set-valued map are defined. Some new fixed point theorems are estbalished under B-convexity framework. As usual, several results concerning the existence of equilibria for the new model of quasi-game are established.
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fixed point
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quasi-equilibria
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\(\mathbb{B}\)-convexity
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set-valued maps with \(\ast \)-weakly \(\mathbb{B}\)-convex graph
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\(\ast \)-naturally \(\mathbb{B}\)-quasiconvex set-valued maps
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