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一类新的含广义H(·,·)-η-增生算子的变分包含系统研究 被引量:1
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作者 张素芬 袁梅 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第4期501-505,共5页
引进并研究了Banach空间中一类新的含广义H(·,·)-η-增生算子的广义变分包含系统.利用预解算子技巧,构造了Banach空间中求解此变分包含系统的一种迭代算法.作为应用在适当的条件下,证明了这种变分包含系统的解的存在性和迭代... 引进并研究了Banach空间中一类新的含广义H(·,·)-η-增生算子的广义变分包含系统.利用预解算子技巧,构造了Banach空间中求解此变分包含系统的一种迭代算法.作为应用在适当的条件下,证明了这种变分包含系统的解的存在性和迭代序列的收敛性. 展开更多
关键词 变分包含系统 广义日(· ·)-增生算子 预解算子 迭代算法 收敛性
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A New System of Variational Inclusions with (H,η)-accretive Operators in Banach Spaces 被引量:3
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作者 LIU Ying CHEN Yong-li HE Zhen 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第4期565-573,共9页
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... 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. 展开更多
关键词 q-uniformly smooth Banach space (H η)-accretive operator resolvent operator technique system of variational inclusion iterative algorithm
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