Common fixed point theorems under strict contractive conditions in Menger spaces. (English) Zbl 1170.47061

Fang, Jin-Xuan; Gao, Yang

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 184-193 (2009).

Summary: The main purpose of this paper is to establish some common fixed point theorems under strict contractive conditions for mappings satisfying the property (E.A) in Menger probabilistic metric spaces. As applications, we obtain the corresponding common fixed point theorems under strict contractive conditions in metric spaces.

MSC:

47S50	Operator theory in probabilistic metric linear spaces
47H10	Fixed-point theorems
54H25	Fixed-point and coincidence theorems (topological aspects)

Keywords:

Menger space; common fixed points; strict contractive conditions; weakly compatible maps

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