有限维空间单调变分不等式问题的超半空间投影。

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Nonlinear and Convex Analysis Pub Date : 2008-12-01

Yair Censor, Aviv Gibali

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引用次数: 0

摘要

本文研究变分不等式问题(VIP)。我们提出了一种通用的算法方案，该方案利用超平面上的投影将球与VIP的可行集分开，而不是在可行集上的投影。我们的算法方案包括经典投影法和福岛亚梯度投影法作为特例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

本刊更多论文

Projections Onto Super-Half-Spaces for Monotone Variational Inequality Problems in Finite-Dimensional Space.

The variational inequality problem (VIP) is considered here. We present a general algorithmic scheme which employs projections onto hyperplanes that separate balls from the feasible set of the VIP instead of projections onto the feasible set itself. Our algorithmic scheme includes the classical projection method and Fukushima's subgradient projection method as special cases.

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来源期刊

Journal of Nonlinear and Convex Analysis 数学-数学

CiteScore

1.90

自引率

27.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Journal of Nonlinear and Convex Analysis will publish carefully selected mathematical papers in nonlinear analysis and convexity theory. Papers submitted treating various aspectos of nonlinear analysis, fixed point theory, game theory, optimization, analysis of set-valued mappings, partial differential equations, convexity and applications to economics, mathematics of finance and engineering are particularly encouraged.