Generalized Levitin-Polyak Well-Posedness for Generalized Semi-Infinite Programs

Gang Wang, Xiaoqi Yang, T.C.E. Cheng · Numerical Functional Analysis and Optimization · 2013

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.

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