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  

Three-step Iteration with Errors and Solutions for k-Variational Inclusions for Nonlinear Operator Equations

作　　者：薛祖华 

机构地区：[1]苏州高等师范学校数理组,苏州215008

出　　处：《大学数学》2010年第1期69-73,共5页College Mathematics

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.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 uniquenees 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 .

关 键 词：变分包含 k-强增生映象 带误差的三重迭代程序 

分 类 号：O177.91[理学—数学]