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- W1520582310 abstract "A nonempty closed convex bounded subset C of a Banach space is said to have the weak approximate fixed point property if for every continuous map f:C→C there is a sequence {xn} in C such that xn−f(xn) converge weakly to 0. We prove in particular that C has this property whenever it contains no sequence equivalent to the standard basis of ℓ1. As a byproduct we obtain a characterization of Banach spaces not containing ℓ1 in terms of the weak topology." @default.
- W1520582310 created "2016-06-24" @default.
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- W1520582310 date "2011-01-01" @default.
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- W1520582310 title "Spaces not containing <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mi>ℓ</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:math> have weak approximate fixed point property" @default.
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- W1520582310 doi "https://doi.org/10.1016/j.jmaa.2010.06.052" @default.
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