Some Fixed-Circle Results in C-Algebra Valued Metric Spaces

2021/04/07 by Değirmen, Nilay
#FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2104.03070

Abstract

In this paper, we consider fixed-circle problem in C*-algebra valued metric spaces and prove some fixed-circle theorems for self-mappings by defining the notion of fixed-circle on such spaces with geometric interpretation. Furthermore, we give some illustrative examples to substantiate the importance of our newly obtained results.

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