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 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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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/}
}
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%D 2012
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%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/