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We proved two common fixed point theorems for four self-mappings and two set-valued mappings with φ-contractive condition in a Menger space.

Keywords: Cone metric space Common fixed point theorem Compatible Weaker Meir–Keeler type function a b s t r a c t In this work, we define a weaker Meir–Keeler type function ψ : int P ∪ {0} → int P ∪ {0} in a cone metric space, and under this weaker Meir–Keeler type function, we show the common fixed point theorems of four single-valued functions in cone… (More)

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