Fixed Points, Maximal Elements and Equilibria of Generalized Games in Abstract Convex Spaces

被引：4

作者：

Du, Yan-Mei ^{[1
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Hedong, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

MINIMAX INEQUALITIES; MAJORIZED CORRESPONDENCES; COINCIDENCE THEOREMS; EXISTENCE THEOREMS; ECONOMIES;

D O I：

10.1155/2012/842515

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We firstly prove some new fixed point theorems for set-valued mappings in noncompact abstract convex space. Next, two existence theorems of maximal elements for class of A(C,theta) mapping and A(C,theta)-majorized mapping are obtained. As in 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.

引用

页数：17

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