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Mostrando ítems 1-10 de 14
Artículo
Fixed point theorems for multivalued nonexpansive mappings satisfying inwardness conditions
(Elsevier, 2004-03-01)
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 ...
Artículo
Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings
(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 ...
Artículo
A geometrical coefficient implying the fixed point property and stability results
(University of Houston, 1996)
In this paper we define a new geometric constant M(X) in Banach spaces such that X has the fixed point property for nonexpansive mappings if M(X) > 1. We prove that M(X) •_ WCS(X), the inequality being strict in many ...
Artículo
Uniformly Lipschitzian mappings in modular function spaces
(Elsevier, 2001-10)
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. ...
Artículo
Asymptotically nonexpansive mappings in modular function spaces
(Elsevier, 2002-01-15)
In this paper, we prove that if ρ is a convex, σ-finite modular function satisfying a ∆2-type condition, C a convex, ρ-bounded, ρ-a.e. compact subset of Lρ and T : C → C a ρ-asymptotically nonexpansive mapping, then T has ...
Artículo
Asymptotic centers and fixed points for multivalued nonexpansive mappings
(Maria Curie-Skłodowska University, 2004)
Let X be a nearly uniformly convex Banach space, C a convex closed bounded subset of X and T : C → 2 C a multivalued nonexpansive mapping with convex compact values. We prove that T has a fixed point. This result improves ...
Artículo
Weak compactness and fixed point property for affine mappings
(Elsevier, 2004-04-01)
It is shown that a closed convex bounded subset of a Banach space is weakly compact if and only if it has the generic fixed point property for continuous affine mappings. The class of continuous affine mappings can be ...
Artículo
The Szlenk index and the fixed point property under renorming
(Springer Open, 2010)
Assume that X is a Banach space such that its Szlenk index Sz X is less than or equal to the first infinite ordinal ω. We prove that X can be renormed in such a way that X with the resultant norm satisfies R X < 2, where ...
Artículo
Does Kirk’s theorem hold for multivalued nonexpansive mappings?
(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 ...
Artículo
Asymptotically regular mappings in modular function spaces
(Japanese Association of Mathematical Sciences, 2001)
Let ρ be a modular function satisfying a ∆2-type condition and Lρ the corresponding modular space. The main result in this paper states that if C is a ρ-bounded and ρ-a.e sequentially compact subset of Lρ and T : C → C is ...