On fixed point theorems in $ C^{*} $-algebra valued $ b $-asymmetric metric spaces-Reference-Cited by-同舟云学术

On fixed point theorems in $ C^{*} $-algebra valued $ b $-asymmetric metric spaces

Published:2022 Issue:7 Volume:7 Page:11851-11861
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Bouftouh Ouafaa¹,Kabbaj Samir¹,Abdeljawad Thabet²³,Mukheimer Aiman²

Affiliation:

1. Laboratory of Partial Differential Equations, Algebra and Spectral Geometry. Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, BP 133 Kenitra Morocco

2. Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia

3. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Abstract

<abstract><p>In this paper, we introduce the notion of $ C^* $-algebra-valued $ b $-asymmetric metric spaces and show several fixed point theorems that improve on a range of recent works in the literature. The $ C^* $-algebra-valued $ b $-asymmetric metric space is illustrated with examples, as well as an application for determining the existence and uniqueness of a solution for a type of matrix equations and integral equation.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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