Fixed Point Results in C🟉-Algebra-Valued Partial b-Metric Spaces with Related Application-Reference-Cited by-同舟云学术

Fixed Point Results in C🟉-Algebra-Valued Partial b-Metric Spaces with Related Application

Published:2023-02-26 Issue:5 Volume:11 Page:1158
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Mani Gunaseelan¹,Gnanaprakasam Arul Joseph²,Ege Ozgur³^ORCID,Aloqaily Ahmad⁴⁵^ORCID,Mlaiki Nabil⁴^ORCID

Affiliation:

1. Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, India

2. Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur, Kanchipuram 603203, Tamil Nadu, India

3. Department of Mathematics, Ege University, Bornova, Izmir 35100, Türkiye

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

5. School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney, NSW 2150, Australia

Abstract

In this manuscript, we prove some fixed point theorems on C🟉-algebra-valued partial b-metric spaces by using generalized contraction. We give support and suitable examples of our main results. Moreover, we present a generative application of the main results.

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2227-7390/11/5/1158/pdf

Reference16 articles.

1. The contraction mapping principle in almost metric spaces;Bakhtin;Funct. Anal. Gos. Ped. Inst. Ulianowsk,1989

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

3. Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem;Ali;Nonlinear Anal. Model. Control,2017

4. Feng and Liu type F-contraction in b-metric spaces with application to integral equations;Kamran;J. Math. Anal.,2016

5. Contraction conditions using comparison functions on b-metric spaces;Shatanawi;Fixed Point Theory Appl.,2014

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