‎Fuzzy Cone Metric Spaces and Fixed Point Theorems for Fuzzy Type Contraction

Subject Areas : Transactions on Fuzzy Sets and Systems

Muhammed Raji ¹ , Laxmi Rathour ² , Lakshmi Narayan Mishra ³ , Vishnu Narayan Mishra ⁴

1 - Department of Mathematics, Confluence University of Science and Technology, Osara, Kogi State, Nigeria.
2 - Department of Mathematics, National Institute of Technology, Chaltlang, Aizawl 796 012, Mizoram, India.
3 - Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India.
4 - Department of Mathematics,Indira Gandhi National Tribal University,Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India.

Received: 2024-05-14 Accepted : 2024-08-19 Published : 2024-11-05

Keywords: Fuzzy cone metric spaces‎, Fixed point‎, ‎Fuzzy mapping‎, Real Banach space‎,

Abstract :

The paper aims to introduce novel concepts of fuzzy type contractions and establish fixed point theorems for fuzzy mappings within the framework of fuzzy cone metric spaces‎. ‎These contributions extend the existing literature on fuzzy mappings and fixed point theory‎. ‎Through illustrative examples‎, ‎we showcase the practical applicability of our proposed notions and results‎, ‎demonstrating their effectiveness in real-world scenarios‎.

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