Existence of projected solutions for generalized Nash equilibrium problems

Orestes Bueno; John Cotrina

doi:10.1007/s10957-021-01941-9

Existence of projected solutions for generalized Nash equilibrium problems

Orestes Bueno, John Cotrina

Producción científica: Contribución a una revista › Artículo de revista › revisión exhaustiva

6 Citas (Scopus)

Resumen

We study the existence of projected solutions for generalized Nash equilibrium problems defined in Banach spaces, under mild convexity assumptions for each loss function and without lower semicontinuity assumptions on the constraint maps. Our approach is based on Himmelberg’s fixed point theorem. As a consequence, we also obtain existence of projected solutions for quasi-equilibrium problems and quasi-variational inequalities. Finally, we show the existence of projected solutions for Single-Leader–Multi-Follower games.

Idioma original	Inglés
Páginas (desde-hasta)	344-362
Número de páginas	19
Publicación	Journal of Optimization Theory and Applications
Volumen	191
N.º	1
Fecha en línea anticipada	27 set. 2021
DOI	https://doi.org/10.1007/s10957-021-01941-9
Estado	Publicada - oct. 2021

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© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Funding Information:
We would like to thank the anonymous referees for their valuable remarks and suggestions which certainly improved this work.

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

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AU - Cotrina, John

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KW - Generalized Nash equilibrium

KW - Non-self-map

KW - Quasi-equilibrium problems

KW - Quasi-variational inequalities

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Existence of projected solutions for generalized Nash equilibrium problems

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