Nash-type equilibria and periodic solutions to nonvariational systems

Advances in Nonlinear Analysis

article

Radu Precup¹ 

[1] Department of Mathematics Babeş–Bolyai University Cluj

关键词: Nash-type equilibrium;    fixed point;    critical point;    Ekeland principle;    periodic solution;    second order system;   

DOI  :  10.1515/anona-2014-0006

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY