Levitin-Polyak well-posedness of variational inequality problems with functional constraints

X. X. Huang; Xiaoqi Yang; D. L. Zhu

doi:10.1007/s10898-008-9310-1

Levitin-Polyak well-posedness of variational inequality problems with functional constraints

X. X. Huang, Xiaoqi Yang, D. L. Zhu

Research output: Journal article publication › Journal article › Academic research › peer-review

74 Citations (Scopus)

Abstract

In this paper, we introduce several types of (generalized) Levitin-Polyak well-posednesses for a variational inequality problem with abstract and functional constraints. Criteria and characterizations for these types of well-posednesses are given. Relations among these types of well-posednesses are also investigated.

Original language	English
Pages (from-to)	159-174
Number of pages	16
Journal	Journal of Global Optimization
Volume	44
Issue number	2
DOIs	https://doi.org/10.1007/s10898-008-9310-1
Publication status	Published - 1 Jun 2009

Keywords

(generalized) Levitin-Polyak well-posedness
Approximating solution sequence
Coercivity
Constrained variational inequality
Monotone operator

ASJC Scopus subject areas

Computer Science Applications
Control and Optimization
Management Science and Operations Research
Applied Mathematics

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10.1007/s10898-008-9310-1

Cite this

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KW - Coercivity

KW - Constrained variational inequality

KW - Monotone operator

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Levitin-Polyak well-posedness of variational inequality problems with functional constraints

Abstract

Keywords

ASJC Scopus subject areas

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