An affirmative answer to a problem posed by Zalinescu
Journal of convex analysis, Tome 18 (2011) no. 3, pp. 621-626
Voir la notice de l'article provenant de la source Heldermann Verlag
Recently, C. Zalinescu ["A new convexity property for monotone operators", Journal of Convex Analysis 13 (2006) 883--887] posed a question about the characterization of the intrinsic core of the Minkowski sum of two graphs associated with two maximal monotone operators. In this note we give an affirmative answer.
Classification :
47H05, 49J53, 52A41
Mots-clés : Convex function, convex set, Fenchel conjugate, Fitzpatrick function, intrinsic core, maximal monotone operator, monotone operator, multifunction, relative algebraic interior, representative, set-valued operator
Mots-clés : Convex function, convex set, Fenchel conjugate, Fitzpatrick function, intrinsic core, maximal monotone operator, monotone operator, multifunction, relative algebraic interior, representative, set-valued operator
@article{JCA_2011_18_3_JCA_2011_18_3_a1,
author = {L. Yao},
title = {An affirmative answer to a problem posed by {Zalinescu}},
journal = {Journal of convex analysis},
pages = {621--626},
publisher = {mathdoc},
volume = {18},
number = {3},
year = {2011},
url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_3_JCA_2011_18_3_a1/}
}
L. Yao. An affirmative answer to a problem posed by Zalinescu. Journal of convex analysis, Tome 18 (2011) no. 3, pp. 621-626. http://geodesic.mathdoc.fr/item/JCA_2011_18_3_JCA_2011_18_3_a1/