American Institute of Mathematical Sciences

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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

X. X. Huang 1, and  Xiaoqi Yang 2,

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.
Keywords: approximating solution sequence, monotone set-valued map, coercivity., (generalized) Levitin-Polyak well-posedness, Constrained generalized variational inequality.
Mathematics Subject Classification: Primary: 49K40; Secondary: 47J20, 49J4.
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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