Approximate Fixed Point Results for (α-η)-Type and (β-ψ)-Type Fuzzy Contractive Mappings in b-Fuzzy Metric Spaces

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6 Citations (Scopus)

Abstract

This article contain the concepts of fuzzy (α-η) and fuzzy (β-ψ)-generalized proximal contractive mappings in the setup of b-fuzzy metric spaces. We proved the existence of coincidence and best proximity points of fuzzy (α-η)- and fuzzy (β-ψ)-generalized proximal contractions on b-fuzzy metric spaces. Some nontrivial examples are provided to elaborate the fact that the obtained results are potential generalizations of comparable existing results. Ourresults unify and complement various known results in the existing literature.

Original languageEnglish
Pages (from-to)267-281
Number of pages15
JournalMalaysian Journal of Mathematical Sciences
Volume15
Issue number2
Publication statusPublished - May 2021
Externally publishedYes

Keywords

  • (β-ψ)- generalized proximal contraction
  • b-fuzzy metric space
  • fuzzy (α-η)-generalized proximal contraction
  • optimal coincidence point
  • α-admissible mapping
  • α-admissible mapping
  • β-admissible mapping
  • β-admissible mapping

ASJC Scopus subject areas

  • General Mathematics

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