3 citations · 4 across the 4 of their papers we have counts for
4 papers · 1 filter
The Bolzano-Poincaré-Miranda theorem in infinite dimensional Banach spaces
David Ariza-Ruiz, Jesús Garcia-Falset, Simeon Reich
We study the existence of zeroes of mappings defined in Banach spaces. We obtain, in particular, an extension of the well-known Bolzano-Poincaré-Miranda theorem to infinite dimensi…
The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings
David Ariza-Ruiz, Genaro López-Acedo, Adriana Nicolae
In this paper we provide a unified treatment of some convex minimization problems, which allows for a better understanding and, in some cases, improvement of results in this direct…
Existence and uniqueness to several kinds of differential equations using the Coincidence Theory
David Ariza-Ruiz, Jesus Garcia-Falset
The purpose of this article is to study the existence of a coincidence point for two mappings defined on a nonempty set and taking values on a Banach space using the fixed point th…
Firmly nonexpansive mappings in classes of geodesic spaces
David Ariza-Ruiz, Laurentiu Leustean, Genaro Lopez-Acedo
Firmly nonexpansive mappings play an important role in metric fixed point theory and optimization due to their correspondence with maximal monotone operators. In this paper we do a…