# American Institute of Mathematical Sciences

October  2007, 3(4): 671-684. doi: 10.3934/jimo.2007.3.671

## Levitin-Polyak well-posedness in generalized variational inequality problems with functional constraints

 1 School of Management, Fudan University, Shanghai 200433 2 Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong

Received  November 2006 Revised  April 2007 Published  October 2007

In this paper, we study Levitin-Polyak type well-posedness for generalized variational inequality problems with functional constraints, as well as an abstract set constraint. We will introduce several types of generalized Levitin-Polyak well-posednesses, and give various criteria and characterizations for these types of well-posednesses.
Citation: X. X. Huang, Xiaoqi Yang. Levitin-Polyak well-posedness in generalized variational inequality problems with functional constraints. Journal of Industrial & Management Optimization, 2007, 3 (4) : 671-684. doi: 10.3934/jimo.2007.3.671
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