A DESCENT METHOD FOR VARIATIONAL INEQUALITIES IN HILBERT SPACES

被引：0

作者：

Sadhu, R. ^{[1
]}

Nahak, C. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Kharagpur, W Bengal, India

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2020年 / 82卷 / 02期

关键词：

Variational inequality; Gap function; Optimization; Descent method; Global convergence; CONVERGENCE; ALGORITHM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a variational inequality problem is reformulated as an optimization problem. An adaptive descent method for solving the reformulated optimization problem is proposed. The method is structured by the introduction of a generalised class of differentiable gap function. Global convergence of the proposed descent method is also proved in a Hilbert space.

引用

页码：43 / 54

页数：12

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