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

TL;DR

This paper explores fixed-circle problems in C*-algebra valued metric spaces, establishing new fixed-circle theorems for self-mappings with geometric insights and providing examples to demonstrate their significance.

Contribution

It introduces the concept of fixed-circle in C*-algebra valued metric spaces and proves new fixed-circle theorems for self-mappings.

Findings

Established fixed-circle theorems in C*-algebra valued metric spaces

Provided illustrative examples demonstrating the results

Enhanced understanding of fixed-circle problems in algebra-valued metric spaces

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.