# 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 original Inglés 344-362 19 Journal of Optimization Theory and Applications 191 1 27 set. 2021 https://doi.org/10.1007/s10957-021-01941-9 Publicada - oct. 2021