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

Research output: Contribution to journal › Article in a journal › peer-review

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.

Original language	English
Pages (from-to)	336-355
Number of pages	20
Journal	Journal of Optimization Theory and Applications
Volume	187
Issue number	2
DOIs	https://doi.org/10.1007/s10957-020-01764-0
State	Published - 1 Nov 2020

Bibliographical note

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.

Keywords

Ekeland variational principle
Quasi-equilibrium problem
System of quasi-equilibrium problem
Transfer lower continuity

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10.1007/s10957-020-01764-0

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

Abstract

Bibliographical note

Keywords

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