Relative Strength of Common Fixed Point Theorem of Self-Mappings Satisfying Rational Inequalities in Real Valued Generalized Complete Metric Spaces-Reference-Cited by-同舟云学术

Relative Strength of Common Fixed Point Theorem of Self-Mappings Satisfying Rational Inequalities in Real Valued Generalized Complete Metric Spaces

Published:2024-07-10 Issue: Volume:4 Page:7-16
ISSN:2732-9976
Container-title:EQUATIONS
language:en
Short-container-title:

Author:

Sahani Suresh Kumar¹,Tiwari Surendra Kumar²,Yadav Devnarayan²,Poudel Madhav Prasad³

Affiliation:

1. Department of Science and Technology Rajarshi Janak University, Janakpurdham, NEPAL

2. Department of Mathematics Dr. C.V. Raman University, Bilaspur, INDIA

3. School of Engineering Pokhara University, Pokhara, NEPAL

Abstract

In this paper, we have introduced relative strength of common fixed point theorem of selfmappings satisfying rational type inequalities in real valued complete metric space. The purpose of this paper is to generalized and unify some of previous works.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Reference49 articles.

1. Banach, S: Sur les operations dans les ensembles abstraits et leur applications aux equations integrals, Fundam. Math. 3, 133- 181 (1922).

2. Abbas, M., Ali, Basit, and Romaguera; Fixed and periodic points of generalized contractions in metric spaces, Fixed Point Theory and Applications, 2013, 2013:243, http://www.fixedpointtheoryandapplications .com/content/2013/1/243.

3. Dix, JG, Karakostas, GL: A fixed point theorem for S-type operators on Banach spaces and its applications to boundary-value problems, Nonlinear Anal. 71, 3872-3880 (2009).

4. Latrach, K Taodib, MA, Zeghaic A; Some fixed point theorems of the Schauder and Krasnoselskii type and application to nonlinear transport equation, J, Differ. Equ. 221, 256-271 (2006).

5. Rousseau, C: Point fixe de Banach (in French). Accromath 5, hiver-print-emps (2010) (www.accromath.ca).