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- W2568193873 abstract "ABSTRACTIn this article, we prove that every nonempty and convex pair of subsets of uniformly convex in every direction Banach spaces has the proximal normal structure and then we present a best proximity point theorem for cyclic relatively nonexpansive mappings in such spaces. We also study the structure of minimal sets of cyclic relatively nonexpansive mappings and obtain the existence results of best proximity points for cyclic mappings using some new geometric notions on minimal sets. Finally, we prove a best proximity point theorem for a new class of cyclic contraction-type mappings in the setting of uniformly convex Banach spaces and so, we improve the main conclusions of Eldred and Veeramani." @default.
- W2568193873 created "2017-01-13" @default.
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- W2568193873 date "2017-01-09" @default.
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- W2568193873 title "Remarks on Minimal Sets for Cyclic Mappings in Uniformly Convex Banach Spaces" @default.
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- W2568193873 doi "https://doi.org/10.1080/01630563.2016.1276074" @default.
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