COINCIDENCE POINT AND COMMON FIXED POINT THEOREMS IN PRODUCT SPACES: APPLICATIONS TO COUPLED FIXED POINT THEOREMS AND SYSTEM OF INTEGRAL EQUATIONS

被引：0

作者：

Wu, Hsien-Chung ^{[1
]}

机构：

[1] Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 802, Taiwan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2012年 / 13卷 / 03期

关键词：

Function of contractive factor; coincidence point; common fixed points; coupled fixed point; system of integral equations; ORDERED METRIC-SPACES; WEAKLY COMPATIBLE MAPPINGS; NON-EXPANSIVE MAPPINGS; BANACH-SPACES; NONLINEAR MAPPINGS; FAMILIES; CONTRACTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main aim of this paper is to study and establish some new coincidence point and common fixed point theorems in the product space of complete metric space based on three different types of contractive inequalities. The fixed point theorems in product space will be the special case of coincidence point theorems in product space. Also, the concept of fixed point theorems in product space extends the concept of coupled fixed point theorems. The interesting application is to investigate the existence and uniqueness of solution for system of integral equations.

引用

页码：575 / 598

页数：24

共 28 条

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