Quasi-Equilibrium Problems with Non-self Constraint Map

2018/03/09 by Cotrina, John, Zúñiga, Javier · 1 citation
#49J40 #90B10 #90C26 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1803.03707

Abstract

In 2016 Aussel, Sultana and Vetrivel developed the concept of projected solution for quasi-variational inequality problems and projected Nash equilibrium. We introduce a new concept of solution for quasi-equilibrium problems and we study the existence of such solutions. Additionally, as a consequence of our results, we give existence results of projected solutions for quasi-optimization problems, quasi-variational inequalities problems and generalized Nash equilibrium problems.

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