Fixed Point Theoreme In C*-Algebras Valued Asymmetric Spaces

2021/06/15 by Ouafaa Bouftouh, Bouftouh, Ouafaa
Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Fixed Point Theorems Analysis #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2106.11126

openalex publication_date 2021/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we introduce the concept of C^*-algebra valued asymetric metric space, the concept of forward and the concept of backward C^* valued asymetric contractions. We discuss the existence and uniqueness of fixed points for a self-mapping defined on a C^*-algebra valued asymetric, and we give an application.

Citations

• On Quasi-Metric Spaces

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