2 papers
math.FA2018
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…
math.FA2014
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…