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Liu, Zeqing; Ume, Jeong Sheok; Kang, Shin Min

Resolvent equations technique for general variational inclusions. (English) Zbl 1027.49011

Proc. Japan Acad., Ser. A 78, No. 10, 188-193 (2002).
Summary: In this paper, we introduce and study a new class of variational inclusions and resolvent equations, respectively, and establish the equivalence between them. Using the resolvent equations technique, we construct some new iterative algorithms for solving the classes of varitional inclusions and resolvent equations. Under suitable conditions, the convergence of the iterative algorithms is also studied. Our results include several previously known results as special cases.

Cited in 5 Documents

MSC:

49J40 Variational inequalities
47J20 Variational and other types of inequalities involving nonlinear operators (general)

Keywords:

variational inclusions; resolvent equations; equivalence; iterative algorithms; convergence
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\textit{Z. Liu} et al., Proc. Japan Acad., Ser. A 78, No. 10, 188--193 (2002; Zbl 1027.49011)
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