Geodesic
Stability in Regularized Quasi-Variational Settings
Journal of convex analysis, Tome 19 (2012) no. 4, pp. 1091-1107
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First, new upper stability results are obtained for parametric quasi-variational and linearized quasi-variational problems using an extension of the classical Minty lemma. Then, we show that lower stability results cannot be achieved in general, even on very restrictive conditions, so we introduce approximate solutions for the above problems and we investigate their lower and upper stability properties.
Classification : 49J40, 49K40, 47J20
Mots-clés : Quasi-variational, pseudomonotone, approximate solution, closed map, lower semicontinuous map 
@article{JCA_2012_19_4_JCA_2012_19_4_a11,
     author = {M. B. Lignola and J. Morgan},
     title = {Stability in {Regularized} {Quasi-Variational} {Settings}},
     journal = {Journal of convex analysis},
     pages = {1091--1107},
     year = {2012},
     volume = {19},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2012_19_4_JCA_2012_19_4_a11/}
}
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M. B. Lignola; J. Morgan. Stability in Regularized Quasi-Variational Settings. Journal of convex analysis, Tome 19 (2012) no. 4, pp. 1091-1107. http://geodesic.mathdoc.fr/item/JCA_2012_19_4_JCA_2012_19_4_a11/