کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471079 698588 2010 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
(H(⋅,⋅),η)(H(⋅,⋅),η)-accretive operators with an application for solving set-valued variational inclusions in Banach spaces
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
(H(⋅,⋅),η)(H(⋅,⋅),η)-accretive operators with an application for solving set-valued variational inclusions in Banach spaces
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 59, Issue 4, February 2010, Pages 1559–1567
نویسندگان
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