Fixed Point Theorems in Uniform Space and Its Applications

N. Sreenivasa Reddy

International Journal of Scientific Research in Science and Technology, 2025, vol. 12, issue 5, 109-112

Abstract: In this study, we use the notation of E-distance in uniform space to prove certain popular fixed-point theorems for pairs of weakly and semi-compatible mappings. For a pair of self-mappings in Hausdorff uniform spaces, we prove various stability results for a few common fixed points. Our findings enhance and generalize some of the established stability findings in the literature. Classification of Mathematics Subjects: 47H10, 49H10, 54H25.

Keywords: Common fixed point; Hausdorff Uniform spaces; E & A-Distance; weakly compatible maps; admissible mappings; simulation functions (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:etm:ijsrst:v12:y2025:i5:id:1158

DOI: 10.32628/IJSRST25125102

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