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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.

Recommended by Marlene Frigon We define a weaker Meir-Keeler type function and establish the fixed point theorems for a weaker Meir-Keeler type ψ-set contraction in metric spaces. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided… (More)

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)

- Chi-Ming Chen, Tong-Huei Chang, Ya-Pei Liao, Simeon Reich
- 2007

We establish some coincidence theorems, generalized variational inequality theorems, and minimax inequality theorems for the family G-KKM(X,Y) and the Φ-mapping on G-convex spaces.

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