Fuzzy Cone Metric Spaces and Fixed Point Theorems for Fuzzy Type Contraction
Muhammed Raji
1
(Department of Mathematics, Federal University Lokoja, Lokoja, Nigeria)
Laxmi Rathour
2
(Department of Mathematics,Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India)
Lakshmi Narayan Mishra
3
(Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India)
Vishnu Narayan Mishra
4
(Department of Mathematics,Indira Gandhi National Tribal University,Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India)
کلید واژه: Fuzzy cone metric spaces, fixed point, fuzzy mapping, real Banach space,
چکیده مقاله :
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.
چکیده انگلیسی :
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.