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Robinson Stability of Parametric Constraint Systems via Variational Analysis (1609.02238v2)
Published 8 Sep 2016 in math.OC
Abstract: This paper investigates a well-posedness property of parametric constraint systems named here Robinson stability. Based on advanced tools of variational analysis and generalized differentiation, we derive first-order and second-order conditions for this property under minimal constraint qualifications and establish relationships of Robinson stability with other well-posedness properties in variational analysis and optimization. The results obtained are applied to robust Lipschitzian stability of parametric variational systems.