FIXED POINT THEOREMS IN MINIMAL GENERALIZED CONVEX SPACES

被引：2

作者：

Darzi, Rahmat ^{[1
]}

Delavar, Mohsen Rostamian ^{[1
]}

Roohi, Mehdi ^{[2
]}

机构：

[1] Islamic Azad Univ, Neka Branch, Neka, Iran

[2] Golestan Univ, Fac Sci, Dept Math, Gorgan, Iran

来源：

FILOMAT | 2011年 / 25卷 / 04期

关键词：

KKM maps; fixed point; coincidence point; minimal structure; generalized convex space; EQUILIBRIA; EXISTENCE; MAPPINGS;

D O I：

10.2298/FIL1104165D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with coincidence and fixed point theorems in minimal generalized convex spaces. By establishing a kind of KKM Principle in minimal generalized convex space, we obtain some results on coincidence point and fixed point theorems. Generalized versions of Ky Fan's lemma, Fan-Browder fixed point theorem, Nash equilibrium theorem and some Urai's type fixed point theorems in minimal generalized convex spaces are given.

引用

页码：165 / 176

页数：12

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