Common Fixed-Point Theorems via Notion of Pairwise Semi-Compatible Mappings and Occasionally Weakly Compatible Mappings (OWC) for Six Self-Mappings in Fuzzy Metric Spaces

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Department of Mathematics, Aurora's Technological and Management Academy, Hyderabad, Telangana, India.
Periodicity:January - June'2023
DOI : https://doi.org/10.26634/jmat.12.1.19308

Abstract

The notion of occasionally weakly compatible mappings, and Semi compatible mappings in fuzzy metric space is discussed in this research. The paper investigates the Common fixed-point theorems in fuzzy metric spaces. By taking the property of commutativity of pair mappings, the pairwise semi-compatible mappings and occasionally weakly compatible mappings, satisfying constructive type condition for six self-mappings the common fixed-point theorems in fuzzy metric spaces were proved. The result improves and generalizes other similar results in the literature.

Keywords

Fuzzy Metric Space (FM-Space), Fixed Point, Property E.A., Compatible Mapping.

How to Cite this Article?

Singh, T. R. (2023). Common Fixed-Point Theorems via Notion of Pairwise Semi-Compatible Mappings and Occasionally Weakly Compatible Mappings (OWC) for Six Self-Mappings in Fuzzy Metric Spaces. i-manager’s Journal on Mathematics, 12(1), 29-36. https://doi.org/10.26634/jmat.12.1.19308

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