Variational Sum and Kato's Conjecture
Journal of convex analysis, Tome 9 (2002) no. 1, pp. 291-294
Cet article a éte moissonné depuis la source Heldermann Verlag
Our aim in this paper is to compare the variational sum recently introduced by Attouch, Baillon and Théra and the concept of generalized sum. Under appropriate hypotheses, we show that these sums coincide and that the variational sum is a maximal monotone operator.
Classification :
47B44, 47H05, 47A07, 11E05
Mots-clés : Algebraic sum, sum form, variational sum, Kato's condition, maximal monotone operators
Mots-clés : Algebraic sum, sum form, variational sum, Kato's condition, maximal monotone operators
@article{JCA_2002_9_1_JCA_2002_9_1_a15,
author = {T. Diagana},
title = {Variational {Sum} and {Kato's} {Conjecture}},
journal = {Journal of convex analysis},
pages = {291--294},
year = {2002},
volume = {9},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2002_9_1_JCA_2002_9_1_a15/}
}
T. Diagana. Variational Sum and Kato's Conjecture. Journal of convex analysis, Tome 9 (2002) no. 1, pp. 291-294. http://geodesic.mathdoc.fr/item/JCA_2002_9_1_JCA_2002_9_1_a15/