Simultaneous generalizations of known fixed point theorems for a Meir-Keeler type condition with applications

Document Type: Research Paper

Authors

1 Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan

2 Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece

10.22075/ijnaa.2019.3676

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

International Journal of Nonlinear Analysis and Applications

Volume 11, Issue 1
Winter and Spring 2020
Pages 55-66

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