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This study establishes a common coupled fixed point for two pairs of compatible and sequentially continuous mappings in the intuitionistic fuzzy metric space that satisfy the ϕ–contractive conditions. Many basic definitions and theorems have been used from some recent scientific papers about the binary operator, t-norm, t-conorm, intuitionistic fuzzy metric space, and compatible mapping for reaching to the paper's purpose.
Abu-Donia et al. (Thu,) studied this question.