Fixed Point Theorems of Almost Generalized Contractive Mappings in b-Metric Spaces and an Application to Integral Equation-Reference-Cited by-同舟云学术

Fixed Point Theorems of Almost Generalized Contractive Mappings in b-Metric Spaces and an Application to Integral Equation

Published:2023-06-05 Issue:11 Volume:11 Page:2580
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Seshagiri Rao N.¹^ORCID,Mitrović Zoran D.²^ORCID,Santina Dania³,Mlaiki Nabil³^ORCID

Affiliation:

1. Department of Mathematics & Statistics, School of Applied Science & Humanities, Vignan’s Foundation for Science, Technology & Research, Vadlamudi, Guntur 522213, India

2. Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina

3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Abstract

In this study, we have new fixed point results for weak contraction mappings in complete and partially ordered b-metric spaces. Our findings expand and generalize the results of Jachymski and Mituku et al and many more results in the literature as well. To illustrate our work, we present an application on the existence and uniqueness of a nonlinear quadratic integral problem solution. Moreover, an open problem is presented to enable the scope for future research in this area.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/11/2580/pdf

Reference31 articles.

1. The contraction principle in quasimetric spaces;Bakhtin;Func. An. Ulianowsk Gos. Fed. Ins.,1080

2. Contraction mappings in b-metric spaces;Czerwik;Acta Math. Univ. Ostrav.,1003

3. A fixed point theorem in partially ordered sets and some applications to matrix equations;Ran;Proc. Amer. Math. Soc.,2004

4. Equivalent conditions for generalized contractions on (ordered) metric spaces;Jachymski;Nonlinear Anal.,2011

5. Mituku, B., Kalyani, K., and Seshagiri Rao, N. (2020). Some fixed point results of generalized (ϕ, ψ)-contractive mappings in ordered b-metric spaces. BMC Res. Notes, 13.