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Quasi-equilibrium problems with non-self constraint map

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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.

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Acknowledgements

We would like to thank the anonymous referee for the many suggestions which helped improve this work.

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  1. Universidad del Pacífico, Av. Salaverry 2020, Jesús María, Lima, Peru

    John Cotrina & Javier Zúñiga

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  1. John Cotrina
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  2. Javier Zúñiga
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Correspondence to John Cotrina.

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Cotrina, J., Zúñiga, J. Quasi-equilibrium problems with non-self constraint map. J Glob Optim 75, 177–197 (2019). https://doi.org/10.1007/s10898-019-00762-5

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