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.
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页数：13
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