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k-强增生型变分包含问题解的存在性及带误差的三重迭代逼近
引用本文:薛祖华.k-强增生型变分包含问题解的存在性及带误差的三重迭代逼近[J].大学数学,2010,26(1).
作者姓名:薛祖华
作者单位:苏州高等师范学校,数理组,苏州,215008
摘    要:研究Banach空间中k-强增生型变分包含问题,在实的一致光滑Banach空间中,证明了这类变分包含问题解的存在唯一性,并给出带误差的三重迭代序列{xn}收敛性.本文结果是曾六川1]和赵芬、何震2]结果的改进和推广.

关 键 词:变分包含  k-强增生映象  带误差的三重迭代程序

Three-step Iteration with Errors and Solutions for k-Variational Inclusions for Nonlinear Operator Equations
XUE Zu-hua.Three-step Iteration with Errors and Solutions for k-Variational Inclusions for Nonlinear Operator Equations[J].College Mathematics,2010,26(1).
Authors:XUE Zu-hua
Institution:Suzhou Higher Normal School;Sozhou 215008;China
Abstract:The purpose of this paper is to investigate a class of ariational inclusions with k-strongly accretive type appings in a Banach space X.We prove the existence and uniquences f solution to the variational inclusions and the convergence of he three-step iterations with errors.The results in this paper inprove and extend the earlier results obtained by Zeng Lu-chuan ect.
Keywords:variational inclusion  k-strongly accretive mapping  three-step iterations with errors  
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