C*-Algebra-Valued Partial Modular Metric Spaces and Some Fixed Point Results-Reference-Cited by-同舟云学术

C*-Algebra-Valued Partial Modular Metric Spaces and Some Fixed Point Results

Published:2023-05-23 Issue:6 Volume:15 Page:1135
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Narzary Santanu¹^ORCID,Das Dipankar¹²^ORCID,Singh Yumnam³^ORCID,Khan Mohammad⁴^ORCID,Sessa Salvatore⁵^ORCID

Affiliation:

1. Department of Mathematical Sciences, Bodoland University, Kokrajhar 783370, Assam, India

2. Department of Mathematics, Dibrugarh University, Dibrugarh 786004, Assam, India

3. Department of Humanities and Basic Sciences, Manipur Institute of Technology, A Constitute College of Manipur University, Takyepat 795004, Manipur, India

4. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Gauteng 0208, South Africa

5. Department of Architecture, Federico II Naples University, Via Toledo 402, 80134 Naples, Italy

Abstract

In the present paper, we introduce the notion of C*-algebra-valued partial modular metric space satisfying the symmetry property that generalizes partial modular metric space, C*-algebra-valued partial metric space, and C*-algebra-valued modular metric space and discuss it with examples. Some fixed point results using (ϕ,MF)-contraction mapping are discussed in such space. In addition, we study the stability of obtained results in the spirit of Ulam and Hyers. As an application, we also provide the existence and uniqueness of the solution for a system of Fredholm integral equations.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/6/1135/pdf

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