Common Fixed Points of Intuitionistic Fuzzy Maps for Meir-Keeler Type Contractions

Abstract EN

The main purpose of this paper is to establish and prove some new common fixed point theorems for intuitionistic fuzzy maps in the context of (α,β)-cut sets of intuitionistic fuzzy sets on a complete metric space in association with the Hausdorff metric.

Furthermore, the technique of Meir-Keeler (shortly, M-K) contraction is applied to obtain common fixed point of intuitionistic fuzzy compatible maps and fixed points of Kannan type intuitionistic fuzzy set-valued contractive mappings.

Our results generalize M-K type fixed point theorem along with its various generalizations.

Some nontrivial examples have been furnished in the support of the main results.