Strictly and roughly convexlike functions

zbMath1176.90470MaRDI QIDQ1411496

Hoang Xuan Phu

Publication date: 29 October 2003

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Generalized convexitystrictly \(\gamma\)-convex functionsstrictly and roughly convexlike functions

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Sensitivity, stability, parametric optimization (90C31)

Related Items (3)

Global infimum of strictly convex quadratic functions with bounded perturbations ⋮ Some properties of boundedly perturbed strictly convex quadratic functions ⋮ Generalized convexities and generalized gradients based on algebraic operations

Cites Work

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• Stability of solutions to convex problems of optimization
• Sufficient conditions for local optimality in multidimensional control problems with state restrictions
• Six kinds of roughly convex functions
• Piecewise constant roughly convex functions
• \(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on a normed space
• The generalized Favard problem
• \(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on the real line
• Some analytical properties of \(\gamma\)-convex functions on the real line
• Favard’s ‘fonction penetrante’ —a roughly convex function
• Optimization of Globally Convex Functions
• Representation of Bounded Convex Sets By Rational Convex Hull Of Its Gamma-Extreme Points
• Local boundedness and continuity of generalized convex functions

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