Journal of convex analysis, Tome 16 (2009) no. 3, pp. 791-806
Citer cet article
G. Inoue; W. Takahashi; K. Zembayashi. Strong Convergence Theorems by Hybrid Methods for Maximal Monotone Operators and Relatively Nonexpansive Mappings in Banach Spaces. Journal of convex analysis, Tome 16 (2009) no. 3, pp. 791-806. http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a13/
@article{JCA_2009_16_3_JCA_2009_16_3_a13,
author = {G. Inoue and W. Takahashi and K. Zembayashi},
title = {Strong {Convergence} {Theorems} by {Hybrid} {Methods} for {Maximal} {Monotone} {Operators} and {Relatively} {Nonexpansive} {Mappings} in {Banach} {Spaces}},
journal = {Journal of convex analysis},
pages = {791--806},
year = {2009},
volume = {16},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a13/}
}
TY - JOUR
AU - G. Inoue
AU - W. Takahashi
AU - K. Zembayashi
TI - Strong Convergence Theorems by Hybrid Methods for Maximal Monotone Operators and Relatively Nonexpansive Mappings in Banach Spaces
JO - Journal of convex analysis
PY - 2009
SP - 791
EP - 806
VL - 16
IS - 3
UR - http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a13/
ID - JCA_2009_16_3_JCA_2009_16_3_a13
ER -
%0 Journal Article
%A G. Inoue
%A W. Takahashi
%A K. Zembayashi
%T Strong Convergence Theorems by Hybrid Methods for Maximal Monotone Operators and Relatively Nonexpansive Mappings in Banach Spaces
%J Journal of convex analysis
%D 2009
%P 791-806
%V 16
%N 3
%U http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a13/
%F JCA_2009_16_3_JCA_2009_16_3_a13
We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a relatively nonexpansive mapping in a Banach space by using two hybrid methods. Using these results, we obtain new convergence results for resolvents of maximal monotone operators and relatively nonexpansive mappings in Banach spaces.
