Banach空间上变分不等式问题的新投影算法  

A New Projection Algorithm for Solving Variational Inequality Problems in Banach Spaces

作　　者：谢忠兵 蔡钢 Zhong Bing XIE;Gang CAI(School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,P.R.China)

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《数学学报（中文版）》2022年第5期907-918,共12页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11771063);重庆市自然科学基金(cstc2020jcyj-msxmX0455);重庆市教委资助项目(KJZD-K201900504)。

摘　　要：本文在Banach空间上提出一种关于伪单调变分不等式问题的新算法.在对参数强加适当的条件下,我们证明由算法生成的序列强收敛到变分不等式的一个元素,所得结果推广和提高了很多最新结果.We introduce a new algorithm for solving pseudomonotone variational inequality problems in Banach spaces.We prove that the sequence generated by this algorithm converges strongly an element of solutions for variational inequality problems under some suitable conditions imposed on the parameters.The results obtained in this paper extend and improve many recent ones in the literature.

关 键 词：强收敛 Tseng超梯度算法 变分不等式 BANACH空间 伪单调算子 

分 类 号：O177.91[理学—数学]