A New Approach to Investigate Fixed Point for the Sequence of Mappings in Intuitionistic Fuzzy Rectangular Triple Controlled Metric Spaces with Applications

This paper introduces and investigates the concept of an intuitionistic fuzzy rectangular triple controlled metric space (IFRTCMS), providing illustrative examples for clarity. Now fixed point theorems are established for sequence of mappings within this framework. Furthermore, a distinct fixed point theorem is proved by proposing an innovative notion of T-intuitionistic fuzzy contraction. To underline the practical significance of the theoretical developments, the obtained results are successfully applied to solve integral equations.