FIXED POINT RESULTS VIA -CONTRACTION IN C*- ALGEBRA VALUED GENERALIZED METRIC SPACES WITH APPLICATIONS

Gul Rahmat, Arshad Yousaf,Muhammad Sarwar,Muhammad Shoaib,Cemil Tunc

JOURNAL OF MATHEMATICAL ANALYSIS（2023）

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摘要

In this manuscript, using the concept of C*-algebra valued generalized metric spaces, fixed point results for self mappings with contractive conditions related to a nondecreasing function psi : [0, +infinity) -> [0, +infinity) such that lim(m ->infinity)psi(m)(s) = 0, for all s is an element of (0, +infinity), are established. As an application, uniqueness and existence result for integral equation are also provided.

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关键词

Fixed Point,C*-Algebra Valued Generalized Metric Spaces,Integral Equations

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