Banach空间中关于变分不等式组与严格伪压缩映射的广义迭代法(英文)  

A General Iterative Method for Systems of Variational Inequalities and Strict Pseudo-contractions in Banach Spaces

作　　者：刘英[1] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002

出　　处：《应用数学》2012年第4期785-795,共11页Mathematica Applicata

基　　金：Supported by the Natural Science Foundation of Hebei Province (A2011201053 , A2010000191 , A2012201054);the Natural Science Foundation of Hebei Education Commission (2010110)

摘　　要：本文利用广义迭代法建立一迭代序列,通过该序列讨论Banach空间中一类广义变分不等式组的解与有限个严格伪压缩映射的公共不动点,并且得到该序列的强收敛性.本文所得结论推广和提高了以前一些相应结果.In this paper,we study a general iterative process to have strong convergence for a sys- tem of generalized variational inequalities and a finite family of strictly pseudo-contractive mappings in a real Banach space. Our results improve and extend the corresponding results announced by many others.

关 键 词：不动点 q-一致光滑 严格伪压缩 递强增生映射 变分不等式 

分 类 号：O177.91[理学—数学]