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Banach空间中求解变分包含的(H,m)-算子和预解算子技巧
摘要
在Banach中引进了1类新的广义增生算子即(H;m)-增生算子. 通过研究(H;m)-增生算子的性质,我们把联系基本的m-增生算子的预解算子概念扩张到新的(H;m)-增生算子. 鉴于预解算子技巧,我们给出了Banach空间中1类与(H;m)-算子有关的变分包含的逼近解。
关键词:(H,m)-增生算子;预解算子技巧;变分包含;迭代算法.
H-Accretive Operators and Resolvent Operators Technique for Solving Variational Inclusions in Banach Spaces
Abstract
In this paper, we first introduce a new class of generalized accretive operators,i.e., (H;m)-accretive operators in Banach spaces. By investigating the properties of (H;m)-accretive operators, we extend the concept of resolvent operators associated with the classical m-accretive operators to the new (H;m)-accretive operators. In terms of the resolvent operator technique, we give the approximate solution for a class of variational inclusions involving (H;m)-accretive operators in Banach spaces.
Keywords:(H;m)-accretive operators;Resolvent operator technique;Variational inclusions;Iterative algorithm。