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He, Xin-Feng; Lou, Jian; He, Zhen

Iterative methods for solving variational inclusions in Banach spaces. (English) Zbl 1118.65070

J. Comput. Appl. Math. 203, No. 1, 80-86 (2007).
Authors’ summary: The authors consider a system of nonlinear variational inclusions involving \(H\)-accretive operators studied by Y.-P. Fang and N.-J. Huang [Appl. Math. Lett. 17, No. 6, 647–653 (2004; Zbl 1056.49012)] in \(q\)-uniformly smooth Banach spaces. Using a resolvent operator technique, the authors suggest an iterative algorithm for finding an approximate solution to the system of variational inclusions. Further, convergence criteria for the approximate solution of the system of variational inclusions are discussed. The results presented in this paper improve and unify known results about variational inclusions.
Reviewer: Yves Cherruault (Paris)

Cited in 10 Documents

MSC:

65K10 Numerical optimization and variational techniques
49J40 Variational inequalities
47H06 Nonlinear accretive operators, dissipative operators, etc.

Keywords:

\(H\)-accretive operator mapping; resolvent operator technique; system of nonlinear variational inclusions; iterative algorithm; \(q\)-uniformly smooth Banach spaces; convergence

Citations:

Zbl 1056.49012
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Full Text: DOI

References:

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