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

2017/08/02 by Bahman Moeini, Moeini, Bahman, Arsalan Hojat Ansari +1
Mathematics · #46A80 #46L07 #47H10 #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1708.01254

openalex publication_date 2017/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Common fixed point theorems in C^*-algebra-valued metric spaces
• Common coupled fixed point theorems in C^*-algebra-valued metric spaces
• Fixed Point Theoreme In C*-Algebras Valued Asymmetric Spaces
• φ-fixed point theorems in C^∗-algebra valued partial metric spaces
• A simple proof of the fixed point theorem in C^*-algebra valued metric space