6 papers
Stability and Error Estimates with Optimal -Dependence for Strang Splitting of the Allen--Cahn Equation
Rongfu Luo, Chaoyu Quan, Zhijun Tan +1
In this work, long-time Sobolev stability and error estimates with optimal -dependence are established for the Strang splitting method applied to the Allen--Cahn equat…
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…
The ball fixed point property in spaces of continuous functions
Antonio Avilés, María Japón, Christopher Lennard +2
A Banach space has the ball fixed point property (BFPP) if for every closed ball and for every nonexpansive mapping , there is a fixed point. We study the B…
Orbital Lipschitzian mappings and semigroup actions on metric spaces
Rafael Espínola, Maria Japón, Daniel Souza
In this paper we study some results on common fixed points of families of mappings on metric spaces by imposing orbit Lipschitzian conditions on them. These orbit Lipschitzian cond…
Fixed points and common fixed points for orbit-nonexpansive mappings in metric spaces
Rafael Espínola, Maria Japón, Daniel Souza
In this paper we introduce an interlacing condition on the elements of a family of operators that allows us to gather together a number of results on fixed points and common fixed…
Fixed Point Properties and reflexivity in Variable Lebesgue Spaces
T. Domínguez-Benavides, M. Japón
In this paper the weak fixed point property (-FPP) and the fixed point property (FPP) in Variable Lebesgue Spaces are studied. Given a -finite measure and $p(\cdot)…