Nash-type equilibria and periodic solutions to nonvariational systems

The paper deals with variational properties of fixed points for contraction-type operators. Under suitable conditions, the unique fixed point of a vector-valued operator is a Nash-type equilibrium of the corresponding energy functionals. This is achieved by an iterative scheme based on Ekeland'...

Full description

Bibliographic Details
Main Author: Precup Radu
Format: Article
Language:English
Published: De Gruyter 2014-11-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2014-0006
Description
Summary:The paper deals with variational properties of fixed points for contraction-type operators. Under suitable conditions, the unique fixed point of a vector-valued operator is a Nash-type equilibrium of the corresponding energy functionals. This is achieved by an iterative scheme based on Ekeland's variational principle. An application to periodic solutions for second order differential systems is given to illustrate the theory.
ISSN:2191-9496
2191-950X