Directional H\"older metric subregularity and application to tangent cones
Huynh Van Ngai(ngaivnyahoo.com)
Abstract: In this work, we study directional versions of the H\"olderian/Lipschitzian metric subregularity of multifunctions. Firstly, we establish variational characterizations of the H\"olderian/Lipschitzian directional metric subregularity by means of the strong slopes and next of mixed tangency-coderivative objects . By product, we give second-order conditions for the directional Lipschitzian metric subregularity and for the directional metric subregularity of demi order. An application of the directional metric subregularity to study the tangent cone is discussed.
Keywords: Error bound, Generalized equation, Metric subregularity, H\"older Metric subregularity, Directional H\"older metric subregularity, Coderivative.
Category 1: Convex and Nonsmooth Optimization
Entry Submitted: 11/04/2014
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