Quasi-equilibrium problems with non-self constraint map

John Cotrina; Javier Zúñiga

doi:10.1007/s10898-019-00762-5

Quasi-equilibrium problems with non-self constraint map

John Cotrina, Javier Zúñiga

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

15 Scopus citations

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.

Original language	English
Pages (from-to)	177-197
Number of pages	21
Journal	Journal of Global Optimization
Volume	75
Issue number	1
DOIs	https://doi.org/10.1007/s10898-019-00762-5
State	Published - 1 Sep 2019

Bibliographical note

Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

Generalized Nash equilibrium
Generalized monotonicity
Quasi-equilibrium problem
Quasi-optimization problem
Quasi-variational inequality

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10.1007/s10898-019-00762-5

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KW - Generalized monotonicity

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Quasi-equilibrium problems with non-self constraint map

Abstract

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Keywords

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