Nash-type equilibria for systems of Szulkin functionals

Abstract

In this paper the solutions of some systems of variational inequalities are obtained as Nash-type equilibria of the corresponding systems of Szulkin functionals. This is achieved by an iterative scheme based on Ekeland’s variational principle, whose convergence is proved via the vector technique involving inverse-positive matrices. An application to periodic solutions for a system of two second order ordinary differential equations with singular ϕ-Laplacians is included.

Authors

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

Keywords

Szulkin-type functional; System of variational inequalities; Nash-type equilibri

Paper coordinates

R. Precup, Nash-type equilibria for systems of Szulkin functionals, Set-Valued and Variational Analysis 24 (2016), 471-482, https://doi.org/10.1007/s11228-015-0356-1

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About this paper

Journal

Set-valued and Variational Analysis

Publisher Name

Springer Link

Print ISSN

1877-0541

Online ISSN

1877-0533

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