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Generalized Levitin-Polyak Well-Posedness for Generalized Semi-Infinite Programs |
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| Authors: | Gang Wang T C E Cheng |
| Institution: | 1. School of Operations Research and Management Sciences , Qufu Normal University , Rizhao , P. R. China;2. Department of Logistics and Maritime Studies , The Hong Kong Polytechnic University , Kowloon , Hong Kong , P. R. China |
| Abstract: | In this article, we study the generalized Levitin-Polyak well-posedness of generalized semi-infinite programs. We first give the criteria and characterizations for two types of well-posedness. We then establish the convergence of a class of penalty methods under the assumption of generalized type I Levitin-Polyak well-posedness. |
| Keywords: | Generalized Levitin-Polyak wellposedness Generalized semi-infinite programs Penalty methods |