Abstract
The paper deals with variational properties of fixed 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
About this paper
Journal
Advances Nonlinear Analysis
Publisher Name
de Gruyter
Print ISSN
Online ISSN
2191-950X
google scholar link
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