Enhanced Fixed Point Theorems for Compatible and Semi Compatible Mappings of Type α and β In Menger Spaces
DOI:
https://doi.org/10.55544/sjmars.icmri.7Keywords:
Fixed Point Theorems, Compatible Mappings, Semi-Compatible Mappings, Menger Spaces, Type α and βAbstract
This paper presents advanced fixed-point theorems for both compatible and semi-compatible mappings of types α and β within Menger spaces. We extend classical results by exploring the conditions under which these mappings exhibit enhanced fixed-point properties. Our findings include new theorems with detailed proofs, contributing to a deeper understanding of the interplay between compatibility conditions and fixed-point existence. These results have potential applications in various mathematical and applied fields.
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