On Ciric-type Contractive Mappings and Fixed Points over a C*-algebra Valued Metric Space
Kushal Roy, Mantu Saha
TL;DR
This paper explores generalized Ciric-type contractive mappings within C*-algebra valued metric spaces, establishing key theorems with necessary and sufficient conditions and providing illustrative examples.
Contribution
It introduces new fixed point theorems for Ciric-type mappings in C*-algebra valued metric spaces, extending existing fixed point theory.
Findings
Proved necessary and sufficient conditions for fixed points
Established new fixed point theorems for generalized mappings
Provided illustrative examples demonstrating the concepts
Abstract
In this paper some generalized mappings due to L.B. Ciric over a generalized metric space have been studied with illustrative examples. Some theorems with necessary and sufficient conditions have been proved for such mappings on that space.
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Taxonomy
TopicsFixed Point Theorems Analysis · Advanced Differential Geometry Research · Advanced Banach Space Theory