The approximate fixed point property in Hausdorff topological vector spaces and applications (2008)
We establish an approximate fixed point result for self-maps on compact convex subsets of Hausdorff topological vector spaces where continuity is not a necessary condition.
A note on the first eigenvalue of spherically symmetric manifolds (2006)
We give lower and upper bounds for the first eigenvalue of geodesic balls in spherically symmetric manifolds. These lower and upper bounds are $C^{0}$-dependent on the metric coefficients. It gives...
Bessa, Gregorio Pacelli, Barroso, Cleon S.
We obtain lower bounds for the first Laplacian eigenvalues of geodesic balls of spherically symmetric manifolds. These lower bounds are only $C^{0}$ dependent on the metric coefficients.
The fixed point property for a class of nonexpansive maps in L\sp\infty(\Omega,\Sigma,\mu) (2004)
For a finite and positive measure space $(\Omega,\Sigma,\mu)$ and any weakly compact convex subset of $L\sp\infty(\Omega,\Sigma,mu)$, a fixed point theorem for a class of nonexpansive self-mappings...
Barroso, Cleon S., Teixeira, Eduardo V.
In the present paper we establish a fixed point result of Krasnoselskii type for the sum $A+B$, where $A$ and $B$ are continuous maps acting on locally convex spaces. Our results extend previous...
Semilinear Elliptic Equations and Fixed Points (2003)
In this paper, we deal with a class of semilinear elliptic equation in a bounded domain $\Omega\subset\mathbb{R}^N$, $N\geq 3$, with $C\sp{1,1}$ boundary. Using a new fixed point result of the...
Measures of Weak Compactness and Fixed Point Theory (2003)
Barroso, Cleon S., O'Regan, Donal
In this paper, we study a class of Banach spaces, called \phi-spaces. In a natural way, we associate a measure of weak compactness in such spaces and prove an analogue of Sadovskii fixed point...