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Inner Conditions for Error Bounds and Metric Subregulerity of Multifunctions

D. Azé (dominique.aze***at***math.univ-toulouse.fr)

Abstract: We introduce a new class of sets, functions and multifunctions which is shown to be large and to enjoy some nice common properties with the convex setting. Error bounds for objects attached to this class are characterized in terms of inner conditions of Abadie's type, that is conditions bearing on normal cones and coderivatives at points of the solution set. Application are given to the characterization of metric subregularity of multifunctions and error bounds for functions generalizing the results of Zheng and Ng.

Keywords: Error bounds, Abadie's qualification condition, metric subregularity, coderivatives, composite analysis, optimality conditions.

Category 1: Convex and Nonsmooth Optimization

Category 2: Convex and Nonsmooth Optimization (Generalized Convexity/Monoticity )

Category 3: Nonlinear Optimization

Citation: Institut de Mathématiques de Toulouse september 2017

Download: [PDF]

Entry Submitted: 09/18/2017
Entry Accepted: 09/18/2017
Entry Last Modified: 10/20/2017

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