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Fixed points of locally nonexpansive mappings in geodesic spaces

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This is an examination of the structure of fixed point sets of locally nonexpansive mappings in various geodesic spaces. Among other things, it is shown that if G is a… Click to show full abstract

This is an examination of the structure of fixed point sets of locally nonexpansive mappings in various geodesic spaces. Among other things, it is shown that if G is a bounded connected open subset of a complete CAT(0) space X and if T:G‾→X is continuous on G‾ and locally nonexpansive on G, then the condition d(u,T(u))

Keywords: fixed points; points locally; nonexpansive mappings; subset; geodesic spaces; locally nonexpansive

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017

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