一类非线性变分包含问题解的存在性和Mann迭代逼近问题  

Existence and Mann iterative approximation problem of solutions or certain nonlinear variational inclusions

作　　者：李晓红[1] 

机构地区：[1]齐齐哈尔大学数学系,黑龙江齐齐哈尔161006

出　　处：《黑龙江大学自然科学学报》2005年第1期96-99,共4页Journal of Natural Science of Heilongjiang University

基　　金：黑龙江省自然科学基金资助项目(A0211)

摘　　要：研究实自反Banach空间中一类具有Lispschitz条件的强增生型变分包含解的存在性、唯一性及其具有混合误差项的Mann迭代程序的收敛性问题.另外还讨论了一类强增生型变分不等式解的存在性和带有混合误差项的Mann迭代序列的收敛性,结果是一些作者早期与最近的相应结果的改进与推广.The purpose is to investigate the existence and uniqueness of solutions and convergence of Mann iterative process with mixed errors for a class of strongly accretive type variational inclusions with Lipschitz condition in real reflexive Banach spaces. On the other hand, a related result discusses the existence of solutions and the convergence of Mann iterative sequences with mixed errors for a class of strongly accretive type variational inequality. The presented results extend and improve the corresponding results, which were obtained by several authors early and recently.

关 键 词：变分包含 强增生映象 带混合误差项的Mann迭代序列 

分 类 号：O177.91[理学—数学]