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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
Some generalizations of Kannan's fixed point theorem in K-metric spaces
(Casa Cărţii de Ştiinţă Cluj-Napoca, 2012)
We extend some known fixed point results for mappings satisfying Kannan type conditions to the context of K-metric spaces. Firstly, we prove a common fixed point result for noncommuting maps. A generalization of Kannan’s ...
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
Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings
(Springer, 2021-08-16)
This paper is devoted to state some fixed point results for multivalued mappings in modular vector spaces. For this purpose, we study the uniform noncompact convexity, a geometric property for modular spaces which is similar ...
Tesis Doctoral
Algunos teoremas métricos del punto fijo determinísticos y aleatorios
(2002)
"En el Capítulo 1 de la Memoria se recoge la información que consideramos necearia para la valoración y compresión de los distintos aspectos de la Teoría Métrica del Punto Fijo que en ella se discuten. En algunas secciones, ...
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 ...