Fixed Point Theorem of Generalized Contraction for Multi-valued Mapping on Fuzzy Metric Spaces


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Authors

  • Arjun Singh Yadav Research Scholar, Department of Mathematics, Institute of Excellence in Higher Education, Bhopal, Madhya Pradesh, India
  • Makhan Singh Chauhan Department of Mathematics, Institute of Excellence in Higher Education, Bhopal, Madhya Pradesh, India

Keywords:

fixed point theorem, fuzzy metric space, Generalized Type Contraction, Chatterjea Type contraction, Kannan-type contraction

Abstract

We prove a Generalized type fixed point theorem for multi-valued mappings on G-complete fuzzy metric spaces. The proof uses the Hausdorff fuzzy metric space which was introduced by Rodriguez-Lopez and Romaguera \cite{Lopez}. We also generalized previous known results.

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Published

01-01-2026

How to Cite

Arjun Singh Yadav, & Makhan Singh Chauhan. (2026). Fixed Point Theorem of Generalized Contraction for Multi-valued Mapping on Fuzzy Metric Spaces. International Journal of Mathematics And Its Applications, 13(4), 55–62. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1655

Issue

Vol. 13 No. 4 (2025)

Section

Research Article

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Copyright (c) 2026 International Journal of Mathematics And its Applications

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