FIXED POINT THEOREMS IN PARTIALLY ORDERED METRIC SPACES AND EXISTENCE RESULTS FOR INTEGRAL EQUATIONS

被引：9

作者：

Nashine, Hemant Kumar ^{[2
]}

Samet, Bessem ^{[1
]}

Vetro, Calogero ^{[3
]}

机构：

[1] King Saud Univ, Dept Math, Riyadh 11451, Saudi Arabia

[2] Disha Inst Management & Technol, Dept Math, Raipur, Chhattisgarh, India

[3] Univ Palermo, Dept Math & Informat, Palermo, Italy

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2012年 / 33卷 / 11期

关键词：

Fixed point; Integral equations; Ordered metric space; GENERALIZED CONTRACTIONS; SETS;

D O I：

10.1080/01630563.2012.675395

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive some new coincidence and common fixed point theorems for self-mappings satisfying a generalized contractive condition in partially ordered metric spaces. As applications of the presented theorems, we obtain fixed point results for generalized contraction of integral type and we prove an existence theorem for solutions of a system of integral equations.

引用

页码：1304 / 1320

页数：17

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