Existence of quasi-equilibria on unbounded constraint sets. (1st February 2022)

• Record Type: Journal Article
• Authors: Cotrina, John; Hantoute, Abderrahim; Svensson, Anton
• Is Part Of: Optimization. Volume 71:Number 2(2022)
• Page Start: 337
• Page End: 354
• Publication Date: 2022-02-01
• Subjects: Coerciveness condition -- generalized monotonicity -- generalized convexity -- quasi-equilibrium problems; 49J40 -- 49J45 -- 54C60 -- 90C37; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2020.1778690
• Languages: English
• ISSNs: 0233-1934

Abstract

ABSTRACT: A quasi-equilibrium problem is an equilibrium problem where the constraint set does depend on the reference point. It generalizes important problems such as quasi-variational inequalities and generalized Nash equilibrium problems. We study the existence of equilibria on unbounded sets under a coerciveness condition. We discuss the relation of our results with others from the literature.