Some Common Fixed Point Results of Tower Mappings in (Pseudo)modular Metric Spaces-Reference-Cited by-同舟云学术

Some Common Fixed Point Results of Tower Mappings in (Pseudo)modular Metric Spaces

Published:2024-07-14 Issue:7 Volume:16 Page:896
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Francis Daniel¹²^ORCID,Okeke Godwin Amechi²,Khan Safeer Hussain³

Affiliation:

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

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

3. Department of Mathematics and Statistics, North Carolina A&T State University, Greensboro, NC 27411, USA

Abstract

In this paper, we prove the existence and uniqueness of common fixed point of tower type contractive mappings in complete metric (pseudo)modular spaces involving the theoretic relation. However, the newly introduced contraction in this paper further characterize and includes in their full strength several existing results in metrical fixed point theory. Some nontrivial supportive examples were given to justify our result. Our results generalize, improve, and unify some existing results.

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/7/896/pdf

Reference35 articles.

1. Fixed point theorems of metric tower in a complete metric spaces;Okeke;J. Anal.,2024

2. Sur les opérationes dans les ensembles abstraits et leur application aux équation intégrales;Banach;Fundam. Math.,1922

3. Remarks on a generalization of Banach’s mappings;Chu;J. Math. Anal. Appl.,1965

4. An extension of Banach contraction mapping principle through rational expressions;Dass;Indian J. Pure Appl. Math.,1975

5. On contractive mapping;Geraghty;Proc. Ann. Math. Soc.,1973