Ciric-Type Non-Uniqueness in Fixed Point Theorems for Intuitionistic Fuzzy Metric Spaces

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  • Johnsy J.1,
  • M. Jeyaraman2,
  1. Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamil Nadu, India
  2. P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamil Nadu, India

Published in Issue 2025-11-09

How to Cite

Ciric-Type Non-Uniqueness in Fixed Point Theorems for Intuitionistic Fuzzy Metric Spaces. (2025). Communications in Nonlinear Analysis, 12(2). https://oiccpress.com/cna/article/view/17880

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Abstract

This study introduces innovative fixed point theorems applicable to both single-valued and multivalued functions. Additionally, it presents a contractive criterion specifically designed for Intuitionistic fuzzy metric spaces that exhibit orbital completeness. Departing from the conventional approach of equating continuity, the proposed methodology emphasizes an orbitally continuous feature, inspired by Ciric’s work on maps that have fixed points with nonunique. This alternative approach ensures the existence of fixed points without requiring uniqueness.

Keywords

  • Weakly demi compact,
  • Orbitally continuous,
  • Orbitally compact
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