Nonasymptotic necessary conditions for nonsmooth infinite optimization problems

DOI10.1016/0022-247X(86)90280-5zbMath0604.49019MaRDI QIDQ1083684

Winfried Schirotzek

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Farkas' lemmainfinite programmingapproximate derivativesnonasymptotic conditions of the John, Karush-Kuhn-Tucker type

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Programming in abstract spaces (90C48) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Optimality conditions for problems in abstract spaces (49K27)

Related Items (4)

Proper efficiency in vector infinite programming problems ⋮ Optimality conditions for nonlinear infinite programming problems ⋮ Mean value properties of nondifferentiation functions and their application in nonsmooth analysis ⋮ Inequality systems and optimization

Cites Work

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• Inequality systems and minimax theorems
• Foundations of optimization
• Systems of Inequalities Involving Convex Functions
• On a theorem of Ky Fan and its application to nondifferentiame optimization
• Asymptotic kuhn-tucker conditions in abstract spaces
• A generalized Farkas lemma with applications to quasidifferentiable programming
• Generalized Gradients and Applications
• Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
• Asymptotic Kuhn–Tucker Conditions for Mathematical Programming Problems in a Banach Space

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