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Metric regularity of the sum of multifunctions and applications

van Ngai Huynh (nghiakhiem***at***yahoo.com)
Huu Tron Nguyen (tron.nguyen***at***etu.unilim.fr)
Michel Thera (michel.thera***at***unilim.fr)

Abstract: In this work, we use the theory of error bounds to study of metric regularity of the sum of two multifunctions, as well as some important properties of variational systems. We use an approach based on the metric regularity of epigraphical multifunctions. Our results subsume some recent results by Durea and Strugariu

Keywords: Error bound \and Perturbation stability \and Metric regularity \and Implicit multifunction\and Generalized equations.

Category 1: Infinite Dimensional Optimization

Category 2: Convex and Nonsmooth Optimization

Citation: XLIM (UMR-CNRS 6172) and Universit\'e de Limoges, 123 Avenue A. Thomas, 87060 Limoges Cedex,

Download: [PDF]

Entry Submitted: 12/23/2011
Entry Accepted: 12/24/2011
Entry Last Modified: 12/26/2011

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