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math.FA2004
The fixed point property for a class of nonexpansive maps in L\sp\infty(Ω,Σ,μ)
Cleon S. Barroso
For a finite and positive measure space and any weakly compact convex subset of $L\sp\infty(Ω,Σ,mu)$, a fixed point theorem for a class of nonexpansive self-mappings is p…
math.FA2004
A Topological and Geometric Approach to Fixed Points Results for Sum of Operators and Applications
Cleon S. Barroso, Eduardo V. Teixeira
In the present paper we establish a fixed point result of Krasnoselskii type for the sum , where and are continuous maps acting on locally convex spaces. Our results e…
math.FA2003
Measures of Weak Compactness and Fixed Point Theory
Cleon S. Barroso, Donal O'Regan
In this paper, we study a class of Banach spaces, called ϕ-spaces. In a natural way, we associate a measure of weak compactness in such spaces and prove an analogue of Sadovskii fi…