Nash-type equilibria and periodic solutions to nonvariational systems

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'...

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Bibliographic Details
Main Author: Precup Radu
Format: Article
Language:English
Published: De Gruyter 2014-11-01
Series:Advances in Nonlinear Analysis
Subjects:
nash-type equilibrium
fixed point
critical point
ekeland principle
periodic solution
second order system
47h10
47j30
34c25
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

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