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Levitin–Polyak well-posedness of variational inequality problems with functional constraints
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Levitin–Polyak well-posedness of variational inequality problems with functional constraints
X. X. Huang1  , X. Q. Yang2 and D. L. Zhu1
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School of Management, Fudan University, Shanghai, 200433, China |
| (2) |
Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong |
Received: 5 October 2007 Accepted: 21 April 2008 Published online: 16 May 2008
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.
Keywords Constrained variational inequality - Approximating solution sequence - (generalized) Levitin–Polyak well-posedness - Monotone operator - Coercivity
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