An existence result for quasi-equilibrium problems via Ekeland’s variational principle

- Cotrina, John, Théra, Michel, Zúñiga, Javier

Title
An existence result for quasi-equilibrium problems via Ekeland’s variational principle
Creator
Cotrina, John; Théra, Michel; Zúñiga, Javier
Date
2020
Type
Text; Journal article
Identifier
http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/174522
Identifier
vital:14809
Identifier
https://doi.org/10.1007/s10957-020-01764-0
Identifier
ISBN:0022-3239 (ISSN)
Abstract
This paper deals with the existence of solutions to equilibrium and quasi-equilibrium problems without any convexity assumption. Coverage includes some equivalences to the Ekeland variational principle for bifunctions and basic facts about transfer lower continuity. An application is given to systems of quasi-equilibrium problems. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.; Research of M. Théra is supported by the Australian Research Council (ARC) Grant DP160100854 and benefited from the support of the FMJH Program PGMO and from the support of EDF. http://purl.org/au-research/grants/arc/DP160100854
Publisher
Springer
Relation
Journal of Optimization Theory and Applications Vol. 187, no. 2 (2020), p. 336-355
Rights
Metadata is freely available under a CCO license
Rights
Copyright © 2020 Springer Nature Switzerland AG. Part of Springer Nature.
Rights
Open Access
Subject
0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0906 Electrical and Electronic Engineering; Ekeland variational principle; Quasi-equilibrium problem; System of quasi-equilibrium problem; Transfer lower continuity
Full Text
Reviewed
Funder
Research of M. Théra is supported by the Australian Research Council (ARC) Grant DP160100854 and benefited from the support of the FMJH Program PGMO and from the support of EDF.
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