3 papers
math.FA2026
Projection schemes and the fixed point property in nonreflexive Banach spaces
T. Dom\'ınguez Benavides, M. Japón, P. K. Lin
We introduce the notion of a projection scheme on a Banach space and develop an abstract framework for studying the fixed point property (FPP) for nonexpansive mappings. Within thi…
math.FA2022
Fixed points for mappings of asymptotically nonexpansive type
Tomas Dominguez Benavides, Pepa Lorenzo
We prove the existence of a fixed point for mappings which satisfy some asymptotic nonexpansive conditions in Banach spaces which are either nearly uniformly convex or they satisfy…
math.FA2017
Komlós' Theorem and the Fixed Point Property for affine mappings
T. Domínguez Benavides, M. A, Japón
Assume that is a Banach space of measurable functions for which Komlós' Theorem holds. We associate to any closed convex bounded subset of a coefficient which at…