Open Access Highly Accessed Research

Edelstein type fixed point theorems

Erdal Karapınar

Author Affiliations

Department of Mathematics, Atılım University, İncek, Ankara, 06836, Turkey

Fixed Point Theory and Applications 2012, 2012:107 doi:10.1186/1687-1812-2012-107

Published: 27 June 2012

Abstract

In this manuscript, we investigate certain conditions that imply the existence of fixed points for almost contraction mappings defined on compact metric spaces. Furthermore we introduce a criteria establishing the uniqueness of fixed points for the mentioned operators. As a result we obtain generalized results by unifying some recent related fixed point theorems on the topic.