Open AccessOn fixed point theorems in $ C^{*} $-algebra valued $ b $-asymmetric metric spaces
Author(s) -
Ouafaa Bouftouh,
Samir Kabbaj,
Thabet Abdeljawad,
Aiman Mukheimer
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022661
Subject(s) - mathematics , uniqueness , metric space , fixed point theorem , metric (unit) , pure mathematics , type (biology) , algebra over a field , fixed point , space (punctuation) , discrete mathematics , mathematical analysis , computer science , ecology , operations management , economics , biology , operating system
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.