Coincidence point theorems for generalized contractions with application to integral equations

被引：24

作者：

Hussain, Nawab ^{[1
]}

Ahmad, Jamshaid ^{[2
]}

Ciric, Ljubomir ^{[3
]}

Azam, Akbar ^{[2
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[2] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan

[3] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Belgrade 11000, Serbia

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

关键词：

coincidence point; F-contractions; integral equations; F-CONTRACTIONS; FIXED-POINTS; KRASNOSELSKII; MAPPINGS;

D O I：

10.1186/s13663-015-0331-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce a new type of contraction and prove certain coincidence point theorems which generalize some known results in this area. As an application, we derive some new fixed point theorems for F-contractions. The article also includes an example which shows the validity of our main result and an application in which we prove an existence and uniqueness of a solution for a general class of Fredholm integral equations of the second kind.

引用

页数：13

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