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- W2930942250 abstract "<p>Kirk introduced the notion of pointwise eventually asymptotically non-expansive mappings and proved that uniformly convex Banach spaces have the fixed point property for pointwise eventually asymptotically non expansive maps. Further, Kirk raised the following question: “Does a Banach space X have the fixed point property for pointwise eventually asymptotically nonexpansive mappings when ever X has the fixed point property for nonexpansive mappings?”. In this paper, we prove that a Banach space X has the fixed point property for pointwise eventually asymptotically nonexpansive maps if X has uniform normal structure or X is uniformly convex in every direction with the Maluta constant D(X) < 1. Also, we study the asymptotic behavior of the sequence {T<sup>n</sup>x} for a pointwise eventually asymptotically nonexpansive map T defined on a nonempty weakly compact convex subset K of a Banach space X whenever X satisfies the uniform Opial condition or X has a weakly continuous duality map.</p>" @default.
- W2930942250 created "2019-04-11" @default.
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- W2930942250 date "2019-04-01" @default.
- W2930942250 modified "2023-09-28" @default.
- W2930942250 title "Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings" @default.
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- W2930942250 doi "https://doi.org/10.4995/agt.2019.10360" @default.
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