一般化凸乘积空间上Fan-Browder型不动点定理及应用

数学季刊 ›› 2008, Vol. 23 ›› Issue (3): 349-355.

一般化凸乘积空间上Fan-Browder型不动点定理及应用

Department of Mathematics,Yanbian University

收稿日期:2005-03-23 出版日期:2008-09-30 发布日期:2023-09-21
作者简介: PIAO Yong-jie(1962- ), male, native of Jiutai, Jilin, a professor of Yanbian University, Ph.D., engages in nonlinear theory.
基金资助:
Supported by the National Natural Science Foundation of China(10361005)；

Fan-Browder Type Fixed Point Theorems and Its Applications on Generalized Convex Product Spaces

Department of Mathematics,Yanbian University

Received:2005-03-23 Online:2008-09-30 Published:2023-09-21
About author: PIAO Yong-jie(1962- ), male, native of Jiutai, Jilin, a professor of Yanbian University, Ph.D., engages in nonlinear theory.

摘要/Abstract

摘要： Fan-Browder type fixed point theorems are obtained for non-selfmaps on non-compact generalized convex product spaces and new existence problems of(partially) maxi-mal element and equilibrium point are discussed as applications of above results.

关键词: generalized convex space, Γ-convex, maximal element, partially maximal element, equilibrium point

Abstract: Fan-Browder type fixed point theorems are obtained for non-selfmaps on non-compact generalized convex product spaces and new existence problems of(partially) maxi-mal element and equilibrium point are discussed as applications of above results.

Key words:

generalized convex space, Γ-convex, maximal element, partially maximal element, equilibrium point

中图分类号:

O189.11

朴勇杰. 一般化凸乘积空间上Fan-Browder型不动点定理及应用[J]. 数学季刊, 2008, 23(3): 349-355.

PIAO Yong-Jie. Fan-Browder Type Fixed Point Theorems and Its Applications on Generalized Convex Product Spaces[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(3): 349-355.

[1]	文开庭. L-凸空间中新的不动点定理及其应用[J]. 数学季刊, 2013, 28(1): 27-32.
[2]	朴勇杰, 石仁淑. 广义凸空间上的重合点和几乎相似重合点及其应用[J]. 数学季刊, 2012, 27(3): 364-370.
[3]	石启宏, 杨建伟, 王长有. 一类高阶差分方程非负解的全局行为[J]. 数学季刊, 2012, 27(2): 280-285.
[4]	文开庭. 一个新的GLKKM定理及其对抽象经济的应用[J]. 数学季刊, 2012, 27(1): 63-67.
[5]	李立平, 陈芳跃. 非对称细胞神经网络的稳定性分析[J]. 数学季刊, 2007, 22(2): 195-202.
[6]	杨巍纳, 林恒强. The Problem of Periodic Solution for Dynam icalSystem s (Ⅱ)[J]. 数学季刊, 1998, 13(1): 74-76.
[7]	张晓岚. 广义凸性与广义拟变分不等式[J]. 数学季刊, 1997, 12(3): 95-100.