Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471079 | Computers & Mathematics with Applications | 2010 | 9 Pages |
Abstract
In this paper, we introduce a new class of accretive operators—(H(⋅,⋅),η)(H(⋅,⋅),η)-accretive operators, which generalize many existing monotone or accretive operators. The resolvent operator associated with an (H(⋅,⋅),η)(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)(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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Zhong Bao Wang, Xie Ping Ding,