La propriété du point fixe dans les espace de Banach avec base inconditionelle.
La théorie des points fixes des applications à itérée condensante
Large time regular solutions to the MHD equations in cylindrical domains
We prove the large time existence of solutions to the magnetohydrodynamics equations with slip boundary conditions in a cylindrical domain. Assuming smallness of the L₂-norms of the derivatives of the initial velocity and of the magnetic field with respect to the variable along the axis of the cylinder, we are able to obtain an estimate for the velocity and the magnetic field in without restriction on their magnitude. Then the existence follows from the Leray-Schauder fixed point theorem.
Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space.
liminf and limsup contractions.
Limit sets in product of semi-dynamical systems.
Local expansions and accretive mappings.
Local uniform linear convexity with respect to the Kobayashi distance.
Locally admissible multi-valued maps
In this paper we generalize the class of admissible mappings as due by L. Górniewicz in 1976. Namely we define the notion of locally admissible mappings. Some properties and applications to the fixed point problem are presented.