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

Authors:
X. X. Huang;X. Q. Yang;D. L. Zhu
Affiliations:
School of Management, Fudan University, Shanghai, China 200433;Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong;School of Management, Fudan University, Shanghai, China 200433
Venue:
Journal of Global Optimization
Year:
2009

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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.