Nash-type equilibria and periodic solutions to nonvariational systems

Abstract

The paper deals with variational properties of xed points for contraction-type operators. Undersuitable conditions, the unique xed point of a vector-valued operator is a Nash-type equilibrium of thecorresponding energy functionals. This is achieved by an iterative scheme based on Ekeland’s variationalprinciple. An application to periodic solutions for second order dierential systems is given to illustratethe theory.

Authors

Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Nash-type equilibrium; fxed point; critical point; Ekeland principle; periodic solution; secondorder system

Paper coordinates

R. Precup, Nash-type equilibria and periodic solutions to nonvariational systems, Adv. Nonlinear Anal., 3 (2014), no. 4,  197-207, https://doi.org/10.1515/anona-2014-0006

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About this paper

Journal

Advances Nonlinear Analysis

Publisher Name

de Gruyter

Print ISSN
Online ISSN

2191-950X

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