Generalized Common Proximal Points in Intuitionistic Fuzzy Metric Spaces

  • Vishal Gupta Maharishi Markandeshwar, Deemed to be University, Mullana, Haryana, India http://orcid.org/0000-0001-9727-2827
  • Naveen Sharma Govt. PG College, Sector-1, Panchkula-134109, Haryana, India
DOI: https://doi.org/10.5269/bspm.77862

Abstract

This manuscript introduces specific criteria for real-valued functions $J, S: (0, 1] \to \mathbb{R}$ for the existence of the best proximal point of generalized $IF_{(S, J)}$-iterative mappings within the framework of intuitionistic fuzzy metric space. After, employ intuitionistic fuzzy versions of $(S, J)$ K-type proximal contraction and fuzzy $(S, J)$- Hardy Rogers (HR)-type to investigate common best proximal (Cbp) points in intuitionistic fuzzy metric spaces with non-trivial example.

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Author Biographies

Vishal Gupta, Maharishi Markandeshwar, Deemed to be University, Mullana, Haryana, India

Professor,

Department of Mathematics

Naveen Sharma, Govt. PG College, Sector-1, Panchkula-134109, Haryana, India

Assistant Professor

Published
2026-03-25
Issue
Vol 44 (2026): Research Articles
Section
Research Articles

Copyright (c) 2026 Boletim da Sociedade Paranaense de Matemática

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