一类非线性变分包含问题解的存在性和迭代逼近问题  

Existence and Iterative Approximation Problem of Solutions for Certain Nonlinear Variational Inclusions

作　　者：郝彦[1] 

机构地区：[1]浙江海洋学院信息学院,浙江舟山316004

出　　处：《数学的实践与认识》2006年第5期290-294,共5页Mathematics in Practice and Theory

摘　　要：研究了实自反Banach空间中一类具有L ipsch itz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M ann迭代程序的收敛性问题.另一方面,一个相关结果,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M ann迭代序列的收敛性.结果改进和推广了张石生,曾六川等人的相应结果.The purpose of this paper 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 results presented in this paper extend and improve the corresponding results of Chang and Zeng.

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：O176[理学—数学]