Maximal Monotone Operators and Maximal Monotone Functions for Equilibrium Problems
Journal of convex analysis, Tome 15 (2008) no. 2, pp. 395-409
Voir la notice de l'article provenant de la source Heldermann Verlag
We deal with multivalued monotone operators and two variable monotone functions for equilibrium problems in Banach spaces. We first study close relationships concerning resolvents and maximal monotonicity for monotone operators and monotone functions. We also consider a one-to-one correspondence between a class of maximal monotone operators and that of maximal monotone functions with certain conditions.
Classification :
47H05, 74G10
Mots-clés : Equilibrium problem, maximal monotone operator, maximal monotone function, resolvent
Mots-clés : Equilibrium problem, maximal monotone operator, maximal monotone function, resolvent
@article{JCA_2008_15_2_JCA_2008_15_2_a14,
author = {K. Aoyama and Y. Kimura and W. Takahashi},
title = {Maximal {Monotone} {Operators} and {Maximal} {Monotone} {Functions} for {Equilibrium} {Problems}},
journal = {Journal of convex analysis},
pages = {395--409},
publisher = {mathdoc},
volume = {15},
number = {2},
year = {2008},
url = {http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a14/}
}
TY - JOUR AU - K. Aoyama AU - Y. Kimura AU - W. Takahashi TI - Maximal Monotone Operators and Maximal Monotone Functions for Equilibrium Problems JO - Journal of convex analysis PY - 2008 SP - 395 EP - 409 VL - 15 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a14/ ID - JCA_2008_15_2_JCA_2008_15_2_a14 ER -
%0 Journal Article %A K. Aoyama %A Y. Kimura %A W. Takahashi %T Maximal Monotone Operators and Maximal Monotone Functions for Equilibrium Problems %J Journal of convex analysis %D 2008 %P 395-409 %V 15 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a14/ %F JCA_2008_15_2_JCA_2008_15_2_a14
K. Aoyama; Y. Kimura; W. Takahashi. Maximal Monotone Operators and Maximal Monotone Functions for Equilibrium Problems. Journal of convex analysis, Tome 15 (2008) no. 2, pp. 395-409. http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a14/