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Perturbation analysis of error bounds for systems of conic linear inequalities in Banach spaces. (English) Zbl 1114.90134
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:
90C31Sensitivity, stability, parametric optimization
90C48Programming in abstract spaces
49J52Nonsmooth analysis (other weak concepts of optimality)