Fuzzy Cone Metric Spaces and Fixed Point Theorems for Fuzzy Type Contraction
الموضوعات : 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.
الکلمات المفتاحية: Fuzzy cone metric spaces, Fixed point, Fuzzy mapping, Real Banach space,
ملخص المقالة :
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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