| Banach空间中关于(H,η)-增生算子的一类新变分包含组问题 |
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| 引用本文： | 刘英,陈永利,何震.Banach空间中关于(H,η)-增生算子的一类新变分包含组问题[J].数学季刊,2008,23(4). |
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| 作者姓名： | 刘英 陈永利 何震 |
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| 作者单位： | 刘英,何震,LIU Ying,HE Zhen(College of Mathematics and Computer,Hebei University,Baoding 071002,China);陈永利,CHEN Yong-li(College of Technology,North China Electric Power University,Baoding 071051,China) |
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| 摘 要： |
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| 关 键 词： | Banach空间 （H，η）-增生算子 新变分包含组问题 数学分析 |
A New System of Variational Inclusions with(H,η)-accretive Operators in Banach Spaces |
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| LIU Ying,CHEN Yong-li,HE Zhen.A New System of Variational Inclusions with(H,η)-accretive Operators in Banach Spaces[J].Chinese Quarterly Journal of Mathematics,2008,23(4). |
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| Authors: | LIU Ying CHEN Yong-li HE Zhen |
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| Institution: | [1]College of Mathematics and Computer, Hebei University, Baoding 071002, China [2]College of Tech-nology, North China Electric Power University, Baoding 071051, China |
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| Abstract: | In this paper,we first introduce a new class of generalized accretive operators named(H,η)-accretive in Banach space.By studying the properties of(H,η)-accretive,we extend the concept of resolvent operators associated with m-accretive operators to the new(H,η)-accretive operators.In terms of the new resolvent operator technique,we prove the existence and uniqueness of solutions for this new system of variational inclusions.We also construct a new algorithm for approximating the solution of this system and discuss the convergence of the sequence of iterates generated by the algorithm. |
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| Keywords: | q-uniformly smooth Banach space resolvent operatortechnique system of variational inclusion iterative algorithm |
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