Some Compatible and Weakly-Compatible Four Self-Mapping Results Approach to Nonlinear Integral Equations in Intuitionistic Fuzzy Cone Metric Spaces

Abstract

This study uses the compatible and weakly compatible four self-mappings in intuitionistic fuzzy cone metric (IFCM) space to prove several unique common fixed point theorems. With the use of one self-map, we show that the findings in IFCM spaces under generalised rational contraction conditions are continuous. Furthermore, given the weaker requirement of self-mapping continuity, we show several logical contraction findings. Finally, our theoretical work was used to demonstrate that the two nonlinear integral equations had a solution. This is an example of how IFCM spaces may be used to different integral type operators.