International Journal of Nonlinear Analysis and Applications

Fixed point theorems satisfying rational tower-type mapping in a complete metric spaces

Document Type : Review articles

Authors

1 Department of Mathematics, College of Physical and Applied Sciences, Michael Okpara University of Agriculture, Umudike, P.M.B 7267, Umuahia, Abia State, Nigeria

2 Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology, Owerri, P.M.B. 1526, Owerri, Imo State, Nigeria

Abstract

In this paper, we define rational type Geraghty tower contraction mapping and prove the existence of such finite and infinite rational Geraghty tower theorem(s) in complete metric spaces. The results we establish in this paper extend, improve, generalise and unify some existing results in the literature.  

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 16, Issue 3
March 2025
Pages 241-271
  • Receive Date: 16 July 2023
  • Revise Date: 31 January 2024
  • Accept Date: 03 February 2024