Weak sharp solutions of variational inequalities in hilbert spaces

Zili Wu; Soon Yi Wu

doi:10.1137/S1052623403421486

Weak sharp solutions of variational inequalities in hilbert spaces

Zili Wu^*, Soon Yi Wu

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

Abstract

Under some new conditions, we present several equivalent (and sufficient) conditions for weak sharp solutions of variational inequalities in Hilbert spaces and give a finite convergence result for a class of algorithms for solving variational inequalities.

Original language	English
Pages (from-to)	1011-1027
Number of pages	17
Journal	SIAM Journal on Optimization
Volume	14
Issue number	4
DOIs	https://doi.org/10.1137/S1052623403421486
Publication status	Published - 2004
Externally published	Yes

Keywords

Error bound
Gap functions
Maximum principle sufficiency property
Minimum principle sufficiency property
Variational inequality
Weak sharpness

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10.1137/S1052623403421486

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title = "Weak sharp solutions of variational inequalities in hilbert spaces",

abstract = "Under some new conditions, we present several equivalent (and sufficient) conditions for weak sharp solutions of variational inequalities in Hilbert spaces and give a finite convergence result for a class of algorithms for solving variational inequalities.",

keywords = "Error bound, Gap functions, Maximum principle sufficiency property, Minimum principle sufficiency property, Variational inequality, Weak sharpness",

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language = "English",

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AU - Wu, Zili

AU - Wu, Soon Yi

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AB - Under some new conditions, we present several equivalent (and sufficient) conditions for weak sharp solutions of variational inequalities in Hilbert spaces and give a finite convergence result for a class of algorithms for solving variational inequalities.

KW - Error bound

KW - Gap functions

KW - Maximum principle sufficiency property

KW - Minimum principle sufficiency property

KW - Variational inequality

KW - Weak sharpness

UR - https://www.scopus.com/pages/publications/9944231651

U2 - 10.1137/S1052623403421486

DO - 10.1137/S1052623403421486

M3 - Article

AN - SCOPUS:9944231651

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SP - 1011

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JO - SIAM Journal on Optimization

JF - SIAM Journal on Optimization

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ER -

Weak sharp solutions of variational inequalities in hilbert spaces

Abstract

Keywords

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