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Banach空间中含H-增生算子的广义集值拟变分包含的迭代算法
引用本文:马昌威. Banach空间中含H-增生算子的广义集值拟变分包含的迭代算法[J]. 西南民族学院学报(自然科学版), 2006, 32(1): 48-53
作者姓名:马昌威
作者单位:阿坝师范高等专科学校数学系 四川汶川623000
基金项目:四川省教育厅重点科研基金资助项目
摘    要:引入和研究了Banach空间中含H-增生算子的广义集值拟变分包含.利用H-增生算子生成的预解算子,给出了一类广义集值拟变分包含的迭代算法,并证明了该迭代算法的强收敛性.文中所得到的结果改进和推广了文献[7-10]中的相关结果.

关 键 词:广义集值拟变分包含  H-增生算子  迭代算法  预解算子  Banach空间
文章编号:1003-2843(2006)01-0048-06
收稿时间:2005-05-16
修稿时间:2005-05-16

An iterative algorithm for generalized set-valued quasi variational inclusions involving H -accretive operators in Banach spaces
MA Chang-wei. An iterative algorithm for generalized set-valued quasi variational inclusions involving H -accretive operators in Banach spaces[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2006, 32(1): 48-53
Authors:MA Chang-wei
Affiliation:Department of Mathematics, Aba Teacherls College, Wenchuan, Sichuan 623000, P. R. C.
Abstract:In this paper,the author introduces and studies a class of more general set-valued quasi-variational inclusions involving H-accretive operator in Banach spaces.By using the resolvent operator technique associated with H-accretive operator,an iterative algorithm for generalized set-valued quasi-variational inclusions is suggested and analysed.The convergence of iterative sequence generated by the algorithm is also proved.These results develop and generalize the corresponding results of.
Keywords:generalized set-valued quasi-variational inclusions  H-accretive operator  iterative algorithm  resolvent operator  Banach space
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