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

John Cotrina (), Michel Théra () and Javier Zúñiga ()
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John Cotrina: Universidad del Pacífico
Michel Théra: Université de Limoges
Javier Zúñiga: Universidad del Pacífico

Journal of Optimization Theory and Applications, 2020, vol. 187, issue 2, No 2, 336-355

Abstract: 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.

Keywords: Quasi-equilibrium problem; System of quasi-equilibrium problem; Ekeland variational principle; Transfer lower continuity; 58E30; 54E50; 49J40; 49J27 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-020-01764-0

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