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Quasi Controlled K-Metric Spaces over C^(*)-Algebras with an Application to Stochastic Integral Equations

Computer Modeling in Engineering & Sciences 2023年第6期135卷 2649-2663页

作者： Ouafaa Bouftouh Samir Kabbaj Thabet Abdeljawad Aziz Khan Department of Mathematics Laboratory of Partial Differential EquationsAlgebra and Spectral GeometryFaculty of SciencesIbn Tofail UniversityKenitraBP 133Morocco Department of Mathematics and Sciences Prince Sultan UniversityP.O.Box 66833Riyadh11586Saudi Arabia Department of Medical Research China Medical UniversityTaichung40402Taiwan

Generally,the field of fixed point theory has attracted the attention of researchers in different fields of science and engineering due to its use in proving the existence and uniqueness of solutions of real-world dynamic models.C^(∗)-algebra is being continually used to explain a physical system in quantum field theory and statistical mechanics and has subsequently become an important area of *** concept of a C^(∗)-algebra-valued metric space was introduced in 2014 to generalize the concept of metric *** fact,It is a generalization by replacing the set of real numbers with a C^(∗)-*** that,this line of research continued,where several fixed point results have been obtained in the framework of C^(∗)-algebra valued metric,aswell as(more general)C^(∗)-algebra-valued b-metric spaces andC^(∗)-algebra-valued extended b-metric *** recently,based on the concept and properties of C^(∗)-algebras,we have studied the quasi-case of such spaces to give a more general notion of relaxing the triangular inequality in the asymmetric *** this paper,we first introduce the concept of C^(∗)-algebra-valued quasi-controlledK-metric spaces and prove some fixed point theorems that remain valid in this *** support our main results,we also furnish some exampleswhichdemonstrate theutility of ***,as an application,we useour results to prove the existence and uniqueness of the solution to a nonlinear stochastic integral equation.

关键词： C^(*)-algebra-valued quasi controlled K-metric spaces left convergence right convergence fixed point contraction

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