V. Ferreira

activity

20162023

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3 papers · 1 filter

math.FA2023

Retraction methods and fixed point free maps with null minimal displacements on unit balls

C. S. Barroso, V. Ferreira

In this paper we consider the class of Lipschitz maps on the unit ball $B_{X}$ of a Banach space $X$ , and the question we deal with is whether for any $λ > 1$ there exists a $λ$ -Lipsch…

math.FA2019

Weak compactness and fixed point property for affine bi-Lipschitz maps

Cleon S. Barroso, Valdir Ferreira

Let $X$ be a Banach space and let $C$ be a closed convex bounded subset of $X$ . It is proved that $C$ is weakly compact if, and only if, $C$ has the {it generic} fixed point proper…

math.FA2016

Weak Compactness and Fixed Point Property for Affine Bi-Lipschitz Maps

C. S. Barroso, V. Ferreira

In this paper we show that if $(y_{n})$ is a seminormalized sequence in a Banach space which does not have any weakly convergent subsequence, then it contains a wide- $(s)$ subsequenc…