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
About this paper
Journal
Set-valued and Variational Analysis
Publisher Name
Springer Link
Print ISSN
1877-0541
Online ISSN
1877-0533
google scholar link
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