4 papers
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…
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…
Semilinear Elliptic Equations and Fixed Points
Cleon S. Barroso
In this paper, we deal with a class of semilinear elliptic equation in a bounded domain , , with $C\sp{1,1}$ boundary. Using a new fixed point result…
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…