Geodesic
An Existence Result for Quasi-Equilibrium Problems
Journal of convex analysis, Tome 24 (2017) no. 1, pp. 55-66
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Recently M. Castellani and M. Giuli [J. Global Optim. 57 (2013) 1213--1227] showed that the proof of the existence result for quasimonotone Stampacchia variational inequalities developed by D. Aussel and N. Hadjisavvas [J. Optim. Theory Appl. 121 (2004) 445--450] can be adapted to the case of equilibrium problems. This proof was based on KKM techniques. In this paper we define and study the so-called quasi-equilibrium problem, that is an equilibrium problem with a constraint set depending on the current point. Our main contribution consists of an existence result combining fixed point techniques with stability analysis of perturbed equilibrium problems. 
@article{JCA_2017_24_1_JCA_2017_24_1_a3,
     author = {D. Aussel and J. Cotrina and A. N. Iusem},
     title = {An {Existence} {Result} for {Quasi-Equilibrium} {Problems}},
     journal = {Journal of convex analysis},
     pages = {55--66},
     year = {2017},
     volume = {24},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a3/}
}
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D. Aussel; J. Cotrina; A. N. Iusem. An Existence Result for Quasi-Equilibrium Problems. Journal of convex analysis, Tome 24 (2017) no. 1, pp. 55-66. http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a3/