13 citations · 35 across the 23 of their papers we have counts for
25 papers
Transfinite contractive propagation and the ball fixed point property in \texorpdfstring{}{C(K)}
Cleon S. Barroso
We prove that, for a compact Hausdorff space , the real Banach space has the ball fixed point property if and only if is extremally disconnected. The new implication…
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 of a Banach space , and the question we deal with is whether for any there exists a -Lipsch…
spreading models and FPP in Banach spaces with monotone Schauder basis
Cleon S. Barroso
The main result of this paper is a fixed point result relating the spreading model structure of Banach spaces and Schauder basis with not too large basis constant. As a striking co…
Remarks on the FPP in Banach spaces with unconditional Schauder basis
Cleon S. Barroso
This paper brings new results on the FPP in Banach spaces with a Schauder basis. We first deal with the problem of whether there is a Banach space isomorphic to $\co$ having th…
Hölder-contractive mappings, nonlinear extension problem and fixed point free results
Cleon S. Barroso
For a bounded closed convex set , in this note, we study the FPP for -Hölder nonexpansive maps, i.e. mappings for which for al…
A proof of the asymptotic conjecture
Cleon S. Barroso
In this paper we prove that if is a self-mapping of a nonempty subset of a normed space that satisfies some mild conditions, then the minimal displacement of large iter…