Geodesic
Stability of E-optimal Points for Sequences of Functions
Journal of convex analysis, Tome 24 (2017) no. 4, pp. 1169-1196
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The main concern of this article is the stability of optimal points for sequences of functions under suitable assumptions about convergence of their epigraphs. The optimality is based on an improvement set given in the value space. Several theorems, obtained in two previous papers, about the existence and stability of optimal points related to sequences of sets in infinite dimensional spaces, are here used in the case of sequences of functions' images. Most part of the present results are new also in the case where the criteria of optimality is a cone or the spaces have finite dimension.
Classification : 49J45, 49K40, 90C31
Mots-clés : Vector optimization, improvement sets, variational convergence, stability of optimal points 
@article{JCA_2017_24_4_JCA_2017_24_4_a5,
     author = {P. Oppezzi and A. Rossi},
     title = {Stability of {\protect\emph{E}-optimal} {Points} for {Sequences} of {Functions}},
     journal = {Journal of convex analysis},
     pages = {1169--1196},
     year = {2017},
     volume = {24},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_4_JCA_2017_24_4_a5/}
}
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P. Oppezzi; A. Rossi. Stability of E-optimal Points for Sequences of Functions. Journal of convex analysis, Tome 24 (2017) no. 4, pp. 1169-1196. http://geodesic.mathdoc.fr/item/JCA_2017_24_4_JCA_2017_24_4_a5/