一类集值混合变分不等式的自适应投影算法与收敛性
Adaptive Projection Algorithm and Convergence of A Class of Set-valued Mixed Variational Inequalities
汤浩然1
作者信息
- 1. 南京财经大学 应用数学学院,江苏 南京 210046
- 折叠
摘要
给出求解一类集值混合变分不等式的自适应投影算法.在算法的步骤中引入含非线性泛函g的邻近算子并改进步长,在一定条件下,证明该算法的强收敛性.在特殊情形下,算法即为通常集值变分不等式的自适应投影算法,因而推广相关结果.
Abstract
An adaptive projection algorithm for solving a class of set-valued mixed variational inequalities is presented in this paper.In the step of the algorithm,a neighboring operator with nonlinear functional is intro-duced and the step size is improved.In the special case,the algorithm in this paper is the adaptive projec-tion algorithm of the usual set-valued variational inequalities.The results of previous scholars are general-ized.
关键词
混合变分不等式/集值映射/自适应投影算法/强收敛Key words
mixed variational inequalities/set-valued mapping/adaptive projection algorithm/strong conver-gence引用本文复制引用
出版年
2024
NETL
NSTL
万方数据