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Weak Stationarity: Eliminating the Gap between Necessary and Sufficient Conditions

Alexander Kruger (a.kruger***at***ballarat.edu.au)

Abstract: Starting from known necessary extremality conditions in terms of strict subdifferentials and normals the notion of weak stationarity is introduced. It is defined in terms of initial space elements. The necessary conditions become necessary and sufficient (for stationarity).

Keywords: nonsmooth analysis, subdifferentials, normal cones, optimality conditions, set-valued mappings, Asplund spaces

Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Citation: School of Information Technology and Mathematical Sciences, Centre of Information and Applied Optimization, University of Ballarat, POB 663, Ballarat, Vic, 3350. December 2003. Published in Optimization, 53 (2004), 147-164

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Entry Submitted: 12/12/2003
Entry Accepted: 12/12/2003
Entry Last Modified: 06/27/2004

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