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.
Khan et al. (Tue,) studied this question.