Some generalizations of Caristi's fixed point theorem with applications to the fixed point theory of weakly contractive set-valued maps and the minimization problem

被引：15

作者：

Amini-Harandi, A. ^{[1
]}

机构：

[1] Univ Shahrekord, Dept Appl Math, Shahrekord 8818634141, Iran

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 12期

关键词：

Caristi's fixed point theorem; Partially ordered set; Minimal element; Weakly contractive set-valued map; Takahashi minimization theorem; VARIATIONAL PRINCIPLE;

D O I：

10.1016/j.na.2010.02.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first prove some generalizations of Caristi's fixed point theorem. Then we give some applications to the fixed point theory of weakly contractive set-valued maps and the minimization problem. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：4661 / 4665

页数：5

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[6]

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