Nash-type equilibria and periodic solutions to nonvariational systems
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'...
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2014-11-01
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Series: | Advances in Nonlinear Analysis |
Subjects: | |
Online Access: | https://doi.org/10.1515/anona-2014-0006 |
Summary: | 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. |
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ISSN: | 2191-9496 2191-950X |