Title of article :
Simultaneous generalizations of known fixed point theorems for a Meir-Keeler type condition with applications
Author/Authors :
Du, Wei-Shih Department of Mathematics - National Kaohsiung Normal University, Kaohsiung, Taiwan , Rassias, Themistocles M. Department of Mathematics - National Technical University of Athens - Zografou Campus ,Athens, Greece
Abstract :
In this paper, we first establish a new fixed point theorem for a Meir-Keeler type condition. As an application, we derive a simultaneous generalization of Banach contraction principle, Kannan's fixed point theorem, Chatterjea's fixed point theorem and other fixed point theorems. Some new fixed point theorems are also obtained.
Keywords :
Simultaneous generalization , Banach's type contraction , Kannan's type contraction , Chatterjea's type contraction , Meir-Keeler's type contraction , Banach contraction principle
Journal title :
International Journal of Nonlinear Analysis and Applications
