Stability in Regularized Quasi-Variational Settings
Journal of convex analysis, Tome 19 (2012) no. 4, pp. 1091-1107
Voir la notice de l'article provenant de la source Heldermann Verlag
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
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},
publisher = {mathdoc},
volume = {19},
number = {4},
year = {2012},
url = {http://geodesic.mathdoc.fr/item/JCA_2012_19_4_JCA_2012_19_4_a11/}
}
TY - JOUR AU - M. B. Lignola AU - J. Morgan TI - Stability in Regularized Quasi-Variational Settings JO - Journal of convex analysis PY - 2012 SP - 1091 EP - 1107 VL - 19 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JCA_2012_19_4_JCA_2012_19_4_a11/ ID - JCA_2012_19_4_JCA_2012_19_4_a11 ER -
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/