文献类型：期刊文献

中文题名：强(A,η)-增生算子及其在变分包含中的应用(英文)

英文题名：Strongly(A,η)-accretive Operators and the Applications to Variational Inclusions

作者：王亚琴[1]

机构：[1]绍兴文理学院数学系

年份：2011

卷号：24

期号：3

起止页码：624

中文期刊名：应用数学

外文期刊名：Mathematica Applicata

收录：CSTPCD、、CSCD2011_2012、北大核心2008、北大核心、CSCD

基金：Supported by the Research Project of Shaoxing University(09LG1002)

语种：中文

中文关键词：强(A;,η)-增生算子;变分包含;广义预解算子;迭代算法

外文关键词：Strongly （A, η） -accretive operator; Variational inclusion ; Generalized resolvent operator; Iterative algorithm

中文摘要：本文引入一类广义增生算子——强(A,η)-增生算子.定义强(A,η)-增生算子的广义预解算子并证明它的Lipschitz连续性,进一步证明含强(A,η)-增生算子的变分包含的一些新的迭代算法的收敛性.所得结果改进和推广了许多文献的相应结果.

外文摘要：In this paper, we introduce a class of generalized accretive operators strongly （A, η） - accretive operators. The generalized resolvent operator associated with a strongly （A,η）-accretive operator is defined and its Lipschitz continuity is proved. Furthermore, we prove the convergence of some new iterative algorithms for variational inclusions involving strongly （A, η） -accretive operators. The results obtained generalize and improve the recent ones announced by many others.