Now showing items 1-10 of 35
The τ-fixed point property for nonexpansive mappings [Article]
Let X be a Banach space and τ a topology on X. We say that X has the τ-fixed point property (τ-FPP) if every nonexpansive mapping T defined from a bounded convex τ-sequentially compact subset C of X into C has a fixed ...
Genericity of the fixed point property under renorming. [PhD Thesis]
Una aplicaci on T de nida de un espacio m etrico M en M se dice no expansiva si d(Tx; Ty) d(x; y) para todo x; y 2 M. Diremos que un espacio de Banach X tiene la Propiedad D ebil del Punto Fijo (w-FPP) si para toda aplicaci ...
Does Kirk’s theorem hold for multivalued nonexpansive mappings? [Article]
(Springer Open, 2010)
Fixed Point Theory for multivalued mappings has many useful applications in Applied Sciences, in particular, in Game Theory and Mathematical Economics. Thus, it is natural to try of extending the known fixed point results ...
Some questions in metric fixed point theory, by A. W. Kirk, revisited [Article]
(Springer Open, 2012-12)
In this survey, we comment on the current status of several questions in Metric Fixed Point Theory which were raised by W. A. Kirk in 1995.
Continuous dependence for implicit differential equations in Banach spaces [Article]
(Universitat de Barcelona, 1980)
In this paper we derive an existence theorem for the implicit defferential equation F(t, x,x') = 0 ; x(to) = are where F is a β-Lipschitz or α-Lipschitz operator in the second variable. The existence of maximal and unlimited ...
Uniformly Lipschitzian mappings in modular function spaces [Article]
Let ρ be a convex modular function satisfying a ∆2-type condition and Lρ the corresponding modular space. Assume that C is a ρ-bounded and ρ-a.e compact subset of Lρ and T : C → C is a k-uniformly Lipschitzian mapping. ...
Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings [Article]
(American Mathematical Society, 2001)
Let X be a Banach space, C a weakly compact convex subset of X and T : C → C an asymptotically nonexpansive mapping. Under the usual assumptions on X which assure the existence of fixed point for T, we prove that the set ...
The Jordan-von Neumann constants and fixed points for multivalued nonexpansive mappings [Article]
The purpose of this paper is to study the existence of fixed point for nonexpansive multivalued mappings in a particular class of Banach spaces. Furthermore, we demonstrate a relationship between the weakly convergent sequence ...
Fixed point theorems for multivalued nonexpansive mappings satisfying inwardness conditions [Article]
Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the non-strict Opial condition. Let C be a bounded closed convex subset of X, KC(X) the family of all compact convex subsets ...