Fixed Point Results for Compatible Mappings in Extended Parametric Sb-Metric Spaces-Reference-Cited by-同舟云学术

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Fixed Point Results for Compatible Mappings in Extended Parametric Sb-Metric Spaces

Published:2024-05-08 Issue:10 Volume:12 Page:1460
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Beniwal Sunil¹^ORCID,Mani Naveen¹^ORCID,Shukla Rahul²^ORCID,Sharma Amit³

Affiliation:

1. Department of Mathematics, Chandigarh University, Mohali 140413, Punjab, India

2. Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa

3. Department of Mathematics, Amity University Haryana, Gurugram 122413, Haryana, India

Abstract

This study aims to establish common fixed point theorems for a pair of compatible self-mappings within the framework of extended parametric Sb-metric spaces. To support our assertions, we provide corollaries and examples accompanied with graphical representations. Moreover, we leverage our principal outcome to guarantee the existence of a common solution to a system of integral equations.

Funder

Directorate of Research and Innovation, Walter Sisulu University

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/10/1460/pdf

Reference27 articles.

1. Sur quelques points du calcul fonctionnel;Rend. Circ. Mat. Palermo,1906

2. On Quasi-Metric Spaces;Wilson;Am. J. Math.,1931

3. Generalized contractions in quasimetric spaces;Berinde;Seminar on Fixed Point Theory,1993

4. Bakhtin, I.A. (1989). Functional Analysis, Ul’yanovskiy Gosudarstvennyy Pedagogicheskiy Institute.

5. Contraction mappings in b-metric spaces;Czerwik;Acta Math. Inform. Univ. Ostrav.,1993

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