Maximal and minimal point theorems and Caristi's fixed point theorem

被引：2

作者：

Li, Zhilong ^{[1
]}

Jiang, Shujun ^{[1
]}

机构：

[1] Jiangxi Univ Finance & Econ, Dept Math, Nanchang 330013, Jiangxi, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

基金：

中国国家自然科学基金;

关键词：

maximal and minimal point; Caristi's fixed point theorem; Caristi-type mapping; partial order; MAPPINGS;

D O I：

10.1186/1687-1812-2011-103

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study is concerned with the existence of fixed points of Caristi-type mappings motivated by a problem stated by Kirk. First, several existence theorems of maximal and minimal points are established. By using them, some generalized Caristi's fixed point theorems are proved, which improve Caristi's fixed point theorem and the results in the studies of Jachymski, Feng and Liu, Khamsi, and Li.

引用

页码：1 / 6

页数：6

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