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Fixed points and almost fixed points of nonexpansive maps in Banach spaces. (English) Zbl 0674.47037

Summary: We generalize two fixed point theorems for nonexpansive mappings on convex, closed (not necessarily bounded) subset of Banach space. Also, we characterize strict convexity of the space by using some geometric sets playing a role in these theorems.

MSC:

47H10 Fixed-point theorems
46B20 Geometry and structure of normed linear spaces
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