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Common fixed points for pairs of commuting nonexpansive mappings in convex metric spaces. (English) Zbl 0666.54025

Author’s summary: “In this paper we introduce the concepts of diminishing orbital diametral sum and of normal structure, both with respect to a generalized affine nonexpansive self-mapping S in convex metric spaces. Using the two notions, some conditions are given under which any nonexpansive self-mapping T commuting with S has a common fixed point with S.”
Reviewer: W.A.Kirk

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
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