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arXiv:1111.6965 [math.FA]AbstractReferencesReviewsResources

On the fixed points of nonexpansive mappings in direct sums of Banach spaces

Andrzej Wiśnicki

Published 2011-11-29Version 1

We show that if a Banach space X has the weak fixed point property for nonexpansive mappings and Y has the generalized Gossez-Lami Dozo property or is uniformly convex in every direction, then the direct sum of X and Y with a strictly monotone norm has the weak fixed point property. The result is new even if Y is finite-dimensional.

Comments: 9 pages. To appear, Studia Mathematica
Journal: Studia Mathematica 207 (2011), 75-84
Categories: math.FA
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