On a fixed point result of Amini-Harandi in strictly convex Banach spaces |
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Authors: | Patrick N Dowling |
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Institution: | (1) Department of Mathematics and Statistics, Miami University, Oxford, OH 45056, U.S.A. |
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Abstract: | Summary Amini-Harandi proved that alternate convexically nonexpansive mappings on non-empty weakly compact convex subsets of strictly
convex Banach spaces have fixed points. We prove that Amini-Harandi's result holds also in Banach spaces with the Kadec--Klee
property and the result is true for a larger class of mappings. Moreover, we show that the Alspach mapping in L10,1] is not a 2-alternate convexically nonexpansive mapping. |
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Keywords: | fixed point alternate convexically nonexpansive mapping Kadec--Klee property |
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