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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.

##### MSC:
 47H10 Fixed-point theorems 54H25 Fixed-point and coincidence theorems (topological aspects) 41A50 Best approximation, Chebyshev systems
##### Keywords:
common fixed points; best approximation; $$p$$-normed space