✦ LIBER ✦

-accretive operators with an application for solving set-valued variational inclusions in Banach spaces

✍ Scribed by Zhong Bao Wang; Xie Ping Ding

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 610 KB
Volume: 59
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.11.003

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✦ Synopsis

In this paper, we introduce a new class of accretive operators-(H(•, •), η)-accretive operators, which generalize many existing monotone or accretive operators. The resolvent operator associated with an (H(•, •), η)-accretive operator is defined and its Lipschitz continuity is presented. By using the new resolvent operator technique, we also introduce and study a new class of set-valued variational inclusions involving (H(•, •), η)-accretive operators and construct a new algorithm for solving this class of set-valued variational inclusions. These results are new, and improve and generalize many known corresponding results.

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