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Slopes of multifunctions and extensions of metric regularity

Huynh Van Ngai (nghiakhiem***at***yahoo.com)
Alexander Y. Kruger (a.kruger***at***ballarat.edu.au)
Michel Thera (michel.thera***at***unilim.fr)

Abstract: This article aims to demonstrate how the definitions of slopes can be extended to multi-valued mappings between metric spaces and applied for characterizing metric regularity. Several kinds of local and nonlocal slopes are defined and several metric regularity properties for set-valued mappings between metric spaces are investigated.

Keywords: variational analysis, error bounds, slope, multifunction, metric regularity

Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Citation: Published in Vietnam Journal of Mathematics 40:2&3(2012) 355-369. The original publication is available at http://www.math.ac.vn/publications/vjm/

Download: [PDF]

Entry Submitted: 01/26/2012
Entry Accepted: 01/26/2012
Entry Last Modified: 11/12/2012

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