An Existence Result for Quasi-equilibrium Problems via Ekeland’s Variational Principle

John Cotrina; Michel Théra; Javier Zúñiga

doi:10.1007/s10957-020-01764-0

An Existence Result for Quasi-equilibrium Problems via Ekeland’s Variational Principle

John Cotrina, Michel Théra, Javier Zúñiga

Universidad del Pacífico

Resultado de la investigación: Contribución a una revista › Artículo de revista › revisión exhaustiva

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	336-355
Número de páginas	20
Publicación	Journal of Optimization Theory and Applications
Volumen	187
N.º	2
DOI	https://doi.org/10.1007/s10957-020-01764-0
Estado	Publicada - 1 nov. 2020

Nota bibliográfica

Funding Information:
We wish to thank the referees and the associate editor for their helpful comments and suggestions. 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.

Publisher Copyright:
© 2020, Springer Science+Business Media, LLC, part of Springer Nature.

Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

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An Existence Result for Quasi-equilibrium Problems via Ekeland’s Variational Principle

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