Asymptotic pointwise contractions |
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| Authors: | WA Kirk Hong-Kun Xu |
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| Institution: | 1. Department of Mathematics, University of Iowa, Iowa City, IA 52242-1419, USA;2. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan |
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| Abstract: | A simple and elementary (without using the ultrapower technique) proof for the existence of a fixed point of an asymptotic pointwise contraction is provided. The existence of fixed points for asymptotic pointwise nonexpansive mappings in a uniformly convex Banach space is also investigated. |
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| Keywords: | primary 47H10 secondary 47H09 |
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