A New System of Nonlinear Variational Inclusions with $(A_i,\eta_i) $-Accretive Operators in Banach Spaces
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 1
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In this paper, we introduce and study a new system of nonlinear variational inclusions with $(A,\eta)$-accretive operators in Banach spaces. Using the resolvent operator technique associated with $(A,\eta)$-accretive operator, we prove the existence and uniqueness of solutions for the system of nonlinear variational inclusions, construct a Mann iterative algorithm with errors for solving the system of nonlinear variational inclusions and discuss the convergence of the iterative sequence generated by the algorithm.
Classification :
47J20, 49J40.
@article{BMMS_2012_35_1_a17,
author = {Fengrong Zhang and Zeqing Liu and Shin Min Kang and Young Chel Kwun},
title = {A {New} {System} of {Nonlinear} {Variational} {Inclusions} with $(A_i,\eta_i) ${-Accretive} {Operators} in {Banach} {Spaces}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2012},
volume = {35},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_1_a17/}
}
TY - JOUR AU - Fengrong Zhang AU - Zeqing Liu AU - Shin Min Kang AU - Young Chel Kwun TI - A New System of Nonlinear Variational Inclusions with $(A_i,\eta_i) $-Accretive Operators in Banach Spaces JO - Bulletin of the Malaysian Mathematical Society PY - 2012 VL - 35 IS - 1 UR - http://geodesic.mathdoc.fr/item/BMMS_2012_35_1_a17/ ID - BMMS_2012_35_1_a17 ER -
%0 Journal Article %A Fengrong Zhang %A Zeqing Liu %A Shin Min Kang %A Young Chel Kwun %T A New System of Nonlinear Variational Inclusions with $(A_i,\eta_i) $-Accretive Operators in Banach Spaces %J Bulletin of the Malaysian Mathematical Society %D 2012 %V 35 %N 1 %U http://geodesic.mathdoc.fr/item/BMMS_2012_35_1_a17/ %F BMMS_2012_35_1_a17
Fengrong Zhang; Zeqing Liu; Shin Min Kang; Young Chel Kwun. A New System of Nonlinear Variational Inclusions with $(A_i,\eta_i) $-Accretive Operators in Banach Spaces. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2012_35_1_a17/