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Banach空间中关于H-增生的多值隐拟变分包含
引用本文:黄建华,游贤焕.Banach空间中关于H-增生的多值隐拟变分包含[J].福州大学学报(自然科学版),2006,34(5):625-629.
作者姓名:黄建华  游贤焕
作者单位:1. 福州大学数学与计算机科学学院,福建,福州,350002
2. 福州大学数学与计算机科学学院,福建,福州,350002;福建对外经济贸易职业技术学院,福建,福州,350007
摘    要:引入和研究了定义在Banach空间内一类隐拟变分包含问题,借助预解算子技巧,构造了这类问题解的新的迭代算法,并且证明了解的存在性定理和收敛定理.

关 键 词:多值隐拟变分包含  Banach空间  算法  H-增生算子
文章编号:1000-2243(2006)05-0625-05
修稿时间:2005年11月9日

H- accretive operators and resolvent operator technique for solving multi-valued implicit quasi variational inclusions in Banach spaces
HUANG Jian-hu,YOU Xian-huan.H- accretive operators and resolvent operator technique for solving multi-valued implicit quasi variational inclusions in Banach spaces[J].Journal of Fuzhou University(Natural Science Edition),2006,34(5):625-629.
Authors:HUANG Jian-hu  YOU Xian-huan
Institution:1,2)(1.College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350002,China;2.Fujian Vocation Technical College of Internation Business and Economics,Fuzhou,Fujian 350007,China)
Abstract:The purpose is to introduce and study a class of multi-valued implicit quasi variational inclusions with H-accretive operators in Banach spaces.By using the resolvent operator technique,some new iterative algorithms are constructed and some existence theorem of solutions and the convergence of iterative approximation for solving this kind of H-accretive multi-valued implicit quasi variational inclusions are established.
Keywords:multi-valued implicit quasi variational inclusions  Banach spaces  algorithm  H-accretive operator
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