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Random fixed points and approximations in random convex metric spaces. (English) Zbl 0798.47038

Summary: Some random fixed point theorems in random convex metric spaces are obtained. Results regarding random best approximation on random convex metric spaces are also proved.

MSC:

47H10 Fixed-point theorems
60H25 Random operators and equations (aspects of stochastic analysis)
54H25 Fixed-point and coincidence theorems (topological aspects)
47H05 Monotone operators and generalizations
41A50 Best approximation, Chebyshev systems