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Zbl 1030.49008
Fang, Yaping; Huang, Nanjing
$H$-monotone operator and resolvent operator technique for variational inclusions. (English)
[J] Appl. Math. Comput. 145, No.2-3, 795-803 (2003). ISSN 0096-3003

Summary: We introduce a new class of monotone operators -- $H$-monotone operators. The resolvent operator associated with an $H$-monotone operator is defined and its Lipschitz continuity is presented. We also introduce and study a new class of variational inclusions involving $H$-monotone operators and construct a new algorithm for solving this class of variational inclusions by using the resolvent operator technique.

MSC 2000:: *49J40 Variational methods including variational inequalities

Keywords: $H$-monotone operator; resolvent operator technique; variational inclusion; iterative algorithm

Cited in: Zbl 1158.47056 Zbl 1152.47304 Zbl 1121.49008 Zbl 1070.49007

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