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.
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页码：43 / 54
页数：12
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