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Some results on common fixed points and best approximation. (English) Zbl 1091.47509
The authors prove a common fixed point theorem for \((f,g)\)-nonexpansive mappings in \(p\)-normed spaces and derive some results on best approximation, generalizing several other authors’ results.

47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
41A50 Best approximation, Chebyshev systems
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