Existence of projected solutions for generalized Nash equilibrium problems

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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 originalInglés
Páginas (desde-hasta)344-362
Número de páginas19
PublicaciónJournal of Optimization Theory and Applications
Volumen191
N.º1
Fecha en línea anticipada2021
DOI
EstadoPublicada - oct 2021

Nota bibliográfica

Publisher Copyright:
© 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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