Generalized convexity and concavity of the optimal value function in nonlinear programming

DOI10.1007/BF02592078zbMath0643.90071MaRDI QIDQ3786289

Jerzy Kyparisis, Anthony V. Fiacco

Publication date: 1987

Published in: Mathematical Programming (Search for Journal in Brave)

zbMATH Keywords

optimal value functionsufficient conditionsquasi-convexityparaconvexitypoint-to-set mapsG-concavityG-convexityparametric inequality-equality constrained nonlinear programming

Mathematics Subject Classification ID

Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Convexity of real functions of several variables, generalizations (26B25)

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Cites Work

• Convexity and concavity properties of the optimal value function in parametric nonlinear programming
• Introduction to sensitivity and stability analysis in nonlinear programming
• Strong and Weak Convexity of Sets and Functions
• On conditions warranting Φ-subdifferentiability
• Pseudo-Convex Functions
• Seven Kinds of Convexity
• Convex Analysis
• Quasi-Convex Programming
• Some Properties of Generalized Concave Functions
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