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THE TANGENT CONES ON CONSTRAINT QUALIFICATIONS IN OPTIMIZATION PROBLEMS 被引量:3

THE TANGENT CONES ON CONSTRAINT QUALIFICATIONS IN OPTIMIZATION PROBLEMS
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摘要 This article proposes a few tangent cones,which are relative to the constraint qualifications of optimization problems.With the upper and lower directional derivatives of an objective function,the characteristics of cones on the constraint qualifications are presented.The interrelations among the constraint qualifications,a few cones involved, and level sets of upper and lower directional derivatives are derived. This article proposes a few tangent cones,which are relative to the constraint qualifications of optimization problems.With the upper and lower directional derivatives of an objective function,the characteristics of cones on the constraint qualifications are presented.The interrelations among the constraint qualifications,a few cones involved, and level sets of upper and lower directional derivatives are derived.
作者 黄龙光
机构地区 School of Science
出处 《Acta Mathematica Scientia》 SCIE CSCD 2008年第4期843-850,共8页 数学物理学报(B辑英文版)
基金 the Natural Science Foundation ofFujian Province of China(S0650021,2006J0215) the National Natural Science Foundation of China(10771086)
关键词 Constraint qualifications upper directional derivatives lower directional derivatives strongly directional differentiable concave functions Constraint qualifications, upper directional derivatives, lower directional derivatives, strongly directional differentiable, concave functions
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