On the existence of common coincidence points of two fuzzy and two non-fuzzy mappings with hybrid-contractions

In this research, we established the existence of coincidence points for fuzzy and non-fuzzy mappings under hybrid contraction. We employ a fuzzy mapping technique within a mathematical framework to address issues that current strategies struggle with due to uncertainty. The practical consequences of our methodology are illustrated through non-trivial examples that demonstrate the strength of established outcomes. These results will assist the researcher in advancing the exploration of fixed point theorems for hybrid contraction within the realm of fuzzy set theory. These findings have substantial importance for theoretical studies and real-world applications across various fields, including decision making, fuzzy logic and fixed point theory.