Operations Research Transactions ›› 2011, Vol. 15 ›› Issue (1): 95-103.
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WU Jia, ZHANG Li-Wei
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Abstract: In this paper, we consider a class of mathematical programs governed by second-order cone constrained generalized equations. We define the critical cone in terms of the directional derivative of a nonsmooth mapping and derive its equivalent characterization at a feasible point. With the help of the critical cone, we propose a set of second order sufficient conditions for the mathematical program governed by second-order cone constrained generalized equations. We demonstrate, under some conditions, that the set of second order sufficient conditions is sufficient for the second order growth of an M-stationary point.
WU Jia, ZHANG Li-Wei. Second Order Sufficient Conditions for Mathematical Programs Governed by Second-Order Cone Constrained Generalized Equations [J]. Operations Research Transactions, 2011, 15(1): 95-103.
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https://www.ort.shu.edu.cn/EN/Y2011/V15/I1/95