A Strong Convergence Theorem for Resolvents of Monotone Operators
Journal of convex analysis, Tome 17 (2010) no. 3, pp. 991-1006
Voir la notice de l'article provenant de la source Heldermann Verlag
We prove a strong convergence theorem for resolvents of monotone operators in Banach spaces. These resolvents are associated with totally convex Legendre functions.
Classification :
47H05, 52A41
Mots-clés : Banach space, Bregman projection, Legendre function, monotone operator, resolvent, totally convex function
Mots-clés : Banach space, Bregman projection, Legendre function, monotone operator, resolvent, totally convex function
@article{JCA_2010_17_3_JCA_2010_17_3_a15,
author = {D. Butnariu and S. Reich and S. Sabach},
title = {A {Strong} {Convergence} {Theorem} for {Resolvents} of {Monotone} {Operators}},
journal = {Journal of convex analysis},
pages = {991--1006},
publisher = {mathdoc},
volume = {17},
number = {3},
year = {2010},
url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_3_JCA_2010_17_3_a15/}
}
TY - JOUR AU - D. Butnariu AU - S. Reich AU - S. Sabach TI - A Strong Convergence Theorem for Resolvents of Monotone Operators JO - Journal of convex analysis PY - 2010 SP - 991 EP - 1006 VL - 17 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JCA_2010_17_3_JCA_2010_17_3_a15/ ID - JCA_2010_17_3_JCA_2010_17_3_a15 ER -
%0 Journal Article %A D. Butnariu %A S. Reich %A S. Sabach %T A Strong Convergence Theorem for Resolvents of Monotone Operators %J Journal of convex analysis %D 2010 %P 991-1006 %V 17 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/JCA_2010_17_3_JCA_2010_17_3_a15/ %F JCA_2010_17_3_JCA_2010_17_3_a15
D. Butnariu; S. Reich; S. Sabach. A Strong Convergence Theorem for Resolvents of Monotone Operators. Journal of convex analysis, Tome 17 (2010) no. 3, pp. 991-1006. http://geodesic.mathdoc.fr/item/JCA_2010_17_3_JCA_2010_17_3_a15/