Quasi-equilibrium problems with non-self constraint map

John Cotrina () and Javier Zúñiga
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John Cotrina: Universidad del Pacífico
Javier Zúñiga: Universidad del Pacífico

Journal of Global Optimization, 2019, vol. 75, issue 1, No 10, 177-197

Abstract: Abstract In 2016 Aussel, Sultana and Vetrivel developed the concept of projected solution for Nash equilibria. The purpose of this work is to study the same concept of solution, but for quasi-equilibrium problems. Our results recover several existence theorems for quasi-equilibrium problems in the literature. Additionally, we show the existence of projected solutions for quasi-optimization problems, quasi-variational inequality problems, and generalized Nash equilibrium problems.

Keywords: Quasi-equilibrium problem; Quasi-optimization problem; Quasi-variational inequality; Generalized Nash equilibrium; Generalized monotonicity; 49J40; 49J52; 90C33; 90C48 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s10898-019-00762-5

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