Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/4767
Title: | Optimality conditions via exact penalty functions | Authors: | Meng, K Yang, XQ |
Issue Date: | 2010 | Source: | SIAM journal on optimization, 2010, v. 20, no. 6, p. 3208-3231 | Abstract: | In this paper, we study KKT optimality conditions for constrained nonlinear programming problems and strong and Mordukhovich stationarities for mathematical programs with complementarity constraints using ɭp penalty functions, with 0 ≤ p ≤ 1. We introduce some optimality indication sets by using contingent derivatives of penalty function terms. Some characterizations of optimality indication sets are obtained by virtue of the original problem data. We show that the KKT optimality condition holds at a feasible point if this point is a local minimizer of some ɭp penalty function with p belonging to the optimality indication set. Our result on constrained nonlinear programming includes some existing results from the literature as special cases. | Keywords: | KKT optimality condition Nonlinear programming problem Mathematical programs with complementarity constraints Strong stationarity Mordukhovich stationarity Exact penalty function |
Publisher: | Society for Industrial and Applied Mathematics | Journal: | SIAM journal on optimization | ISSN: | 1052-6234 | EISSN: | 1095-7189 | DOI: | 10.1137/090771016 | Rights: | © 2010 Society for Industrial and Applied Mathematics |
Appears in Collections: | Journal/Magazine Article |
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