Fixed and coupled fixed points of a new type set-valued contractive mappings in complete metric spaces

Fixexd point theory and applications

A Amini-Harandi¹ 

[1] Department of Pure Mathematics, University of Shahrekord, Shahrekord, Iran

关键词: fixed point;    coupled fixed point;    set-valued contractions;   

DOI  :  10.1186/1687-1812-2012-215

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, motivated by the recent work of Wardowski (Fixed Point Theory Appl. 2012:94, 2012), we introduce a new concept of set-valued contraction and prove a fixed point theorem which generalizes some well-known results in the literature. As an application, we derive a new coupled fixed point theorem. Some examples are also given to support our main results. MSC:47H10.

【 授权许可】

CC BY