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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
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
Some renormings with the stable fixed point property
(Casa Cărţii de Ştiinţă Cluj-Napoca, 2013)
In this paper, we prove that for any number λ < (√33−3)/2, any separable space X can be renormed in such a way that X satisfies the weak fixed point property for non-expansive mappings and this property is inherited for ...
Artículo
Komlós' Theorem and the Fixed Point Property for affine mappings
(American Mathematical Society, 2018-12)
Assume that X is a Banach space of measurable functions for which Koml´os’ Theorem holds. We associate to any closed convex bounded subset C of X a coefficient t(C) which attains its minimum value when C is closed for the ...
Artículo
Some questions in metric fixed point theory, by A. W. Kirk, revisited
(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.
Tesis Doctoral
Genericity of the fixed point property under renorming.
(2010-11-25)
Una aplicación T definida de un espacio métrico M en M se dice no expansiva si d(Tx, Ty) ≤d(x, y) para todo x, y ∈M. Diremos que un espacio de Banach X tiene la Propiedad Débil del Punto Fijo (w-FPP) si para toda aplicación ...