Two Equivalent Contractions and Common Fixed Point in Complete Fuzzy Metric Spaces

Authors

• Dev Raj Joshi, Amity University
• Sanjay Mishra, Amity University
• Piyush Kumar Tripathi, Amity University
• Hichem Ben-El-Mechaiekh, Amity University

Abstract

In this research work, we prove a class of new common fixed point theorems in complete fuzzy metric spaces (CFMS). To prove these theorems, we use contractions existing in the literature, setting some new conditions for two mappings. Our result also reveals that the property of subset, commutativity, and compatibility are not necessary for the existence of a unique common fixed point of two self–mappings in fuzzy metric spaces.

Publication Title

Palestine Journal of Mathematics

Recommended Citation

Joshi, D., Mishra, S., Tripathi, P., & Ben-El-Mechaiekh, H. (2026). Two Equivalent Contractions and Common Fixed Point in Complete Fuzzy Metric Spaces. Palestine Journal of Mathematics, 15 (1), 233-241. Retrieved from https://digitalcommons.memphis.edu/facpub2/3273