Fixed points theorems for (φ, ψ, p)-weakly contractive mappings via w-distance in relational metric spaces with applications-Reference-Cited by-同舟云学术

Fixed points theorems for (φ, ψ, p)-weakly contractive mappings via w-distance in relational metric spaces with applications

Published:2023 Issue:21 Volume:37 Page:7319-7328
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Antal Swati¹,Khantwal Deepak²,Negi Smita³,Gairola U.C.³

Affiliation:

1. Department of Mathematics, Army Cadet College Wing, IMA, Dehradun, India

2. Department of Mathematics and Applied mathematics, University of Johannesburg, South Africa

3. Department of Mathematics, H.N.B. Garhwal University, BGR Campus Pauri Garhwal, Uttarakhand, India

Abstract

In this paper, we establish certain fixed point theorems for (?, ?, p)-weakly contractive mappings on relational metric spaces by using the notion of w-distance and locally S-transitivity of binary relation. Our results generalize the results of Alam and Imdad (J. Fixed Point Theory Appl., 17(4), 693-702, 2015), Senapati and Dey (J. Fixed Point Theory Appl., 19, 2945-2961, 2017) and many others of the existing literature. Moreover, we have an application to the nonlinear Fredholm integral equations and some illustrative examples to reveal the usability of our findings.

Publisher

National Library of Serbia

Reference24 articles.

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3. A. Alam and M. Imdad, Nonlinear contractions in metric spaces under locally S-transitive binary relations, Fixed Point Theory 19 (2018) 13-24.

4. YI. Alber and S. Guerre-Delabriere, Principles of weakly contractive maps in Hilbert spaces, In: Gohberg, I, Lyubich, Y (eds.) New Results in Operator Theory and Its Appl. 98 (1997) 7-22.

5. S. Antal and U. C. Gairola, Caristi-Banach type contraction via simulation function, Jñānābha 50 (1) (2020) 43-48.

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