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一类集值混合变分不等式的自适应投影算法与收敛性

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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.
Adaptive Projection Algorithm and Convergence of A Class of Set-valued Mixed Variational Inequalities
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.

mixed variational inequalitiesset-valued mappingadaptive projection algorithmstrong conver-gence

汤浩然

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南京财经大学 应用数学学院,江苏 南京 210046

混合变分不等式 集值映射 自适应投影算法 强收敛

2024

淮北师范大学学报(自然科学版)
淮北师范大学

淮北师范大学学报(自然科学版)

影响因子:0.222
ISSN:2095-0691
年,卷(期):2024.45(3)