Notes on Convergence Properties for a Smoothing-Regularization Approach to Mathematical Programs with Vanishing Constraints

Autor:	Zhibin Zhu, Yu Chen, Bishan Zhang, Qingjie Hu
Jazyk:	angličtina
Rok vydání:	2014
Předmět:	Mathematical optimization Article Subject lcsh:Mathematics Applied Mathematics Limit point Applied mathematics lcsh:QA1-939 Regularization (mathematics) Stationary point Analysis Smoothing Mathematics
Zdroj:	Abstr. Appl. Anal. Abstract and Applied Analysis, Vol 2014 (2014)
Popis:	We give some improved convergence results about the smoothing-regularization approach to mathematical programs with vanishing constraints (MPVC for short), which is proposed in Achtziger et al. (2013). We show that the Mangasarian-Fromovitz constraints qualification for the smoothing-regularization problem still holds under the VC-MFCQ (see Definition 5) which is weaker than the VC-LICQ (see Definition 7) and the condition of asymptotic nondegeneracy. We also analyze the convergence behavior of the smoothing-regularization method and prove that any accumulation point of a sequence of stationary points for the smoothing-regularization problem is still strongly-stationary under the VC-MFCQ and the condition of asymptotic nondegeneracy.
Databáze:	OpenAIRE
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