New Fuzzy Fixed Point Results in Generalised Fuzzy Metric Space with Applications and Fuzzy Mappings

Abstract: 

In this paper, we extend the application of generalized fuzzy metric space and generalized locations with fuzzy mapping such as quasi-pseudo-metric spaces and cone metric spaces. Some assumptions are also acceptable for α-commuting, α-weakly consistent mapping, L-fuzzy mapping for L-fuzzy sets, and a pair of βFL - L-fuzzy mappings. Based on the above definitions, some interesting coincidence points, common fixed points, and fixed point results are obtained that generalize not only the applications and fuzzy mapping and several important results of generalized fuzzy metric space with multiplayer mapping in recent literature. They do, but also decrease. Some survival theory for the solution of a generalized class of nonlinear integral equations. Some practical examples have also been presented to increase the validity of this work. 

Keywords: L-fuzzy mapping for L-fuzzy sets, and a pair of βFL - L-fuzzy mappings etc.