φ-强增生型变分包含问题解的Mann型迭代法  

The Mann Iteration Method for Solutions to Variational Inclusions with φ-Strongly Accretive Type Mappings

作　　者：刘瑞娟[1] 张子厚[1] 

机构地区：[1]上海工程技术大学基础教学学院,上海201600

出　　处：《河南大学学报（自然科学版）》2011年第3期232-235,共4页Journal of Henan University:Natural Science

基　　金：国家自然科学基金(10971129)

摘　　要：研究了Banach空间中一类新的φ-强增生型变分包含问题.在实自反Banach空间中,证明了这类变分包含问题解的存在唯一性及其带有误差项的Mann迭代程序的收敛性,本文结果是最近结果的改进与推广.The purpose of this paper is to investigate the existence and uniqueness for solutions to variational inclusions with φ-strongly accretive type mappings in reflexive Banach spaces,and the convergence of the Mann iteration method with errors in finding their approximate solutions.The results in this paper improve and extend the earlier and recent corresponding results.

关 键 词：变分包含 Φ-强增生映象 MANN迭代程序 

分 类 号：O177.91[理学—数学]