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arXiv · 1708.01254

Common fixed points for $C^{*}$-algebra-valued modular metric spaces via $C_{*}$-class functions with application

Bahman Moeini·Arsalan Hojat Ansari
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Abstract

Based on the concept and properties of $C^{*}$-algebras, the paper introduces a concept of $C_{*}$-class functions. Then by using these functions in $C^{*}$-algebra- valued modular metric spaces of moeini et al. [14], some common fixed point theorems for self-mappings are established. Also, to support of our results an application is provided for existence and uniqueness of solution for a system of integral equations.

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Bahman Moeini, Arsalan Hojat Ansari. 2017-08-02. Common fixed points for $C^{*}$-algebra-valued modular metric spaces via $C_{*}$-class functions with application. https://arxiv.org/abs/1708.01254

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