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Zbl 1114.90134
Zheng, Xi Yin; Ng, Kung Fu
Perturbation analysis of error bounds for systems of conic linear inequalities in Banach spaces. (English)
[J] SIAM J. Optim. 15, No. 4, 1026-1041 (2005). ISSN 1052-6234; ISSN 1095-7189/e

Summary: For a general (constrained or unconstrained) system of conic inequalities, we provide sufficient conditions to ensure the existence of a common error bound for each of the systems obtained from the original one when the given data undergoes a small perturbation. Moreover, we also give some dual characterizations on the existence of error bounds for systems of conic inequalities.

MSC 2000:: *90C31 Sensitivity, etc.
90C48 Programming in abstract spaces
49J52 Nonsmooth analysis (other weak concepts of optimality)

Keywords: abstract conic linear inequality; error bound; stability; least error bound; normal cone

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