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
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

Volume 11, Issue 1
April 2020
Pages 55-66

  • Receive Date 12 March 2019
  • Revise Date 14 October 2019
  • Accept Date 13 November 2019

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