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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
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 ...