Coincidence point theorems for generalized contractions with application to integral equations

Fixexd point theory and applications

irić¹  Jamshaid Ahmad¹  Nawab Hussain²  Ljubomir Ć³ 

[1] Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan;Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;Faculty of Mechanical Engineering, University of Belgrade, Belgrade, Serbia

关键词: coincidence point;    F-contractions;    integral equations;    46S40;    47H10;    54H25;   

DOI  :  10.1186/s13663-015-0331-4

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY