\(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on a normed space

DOI10.1007/BF02193061zbMath0831.90105OpenAlexW2064485922MaRDI QIDQ1896576

Hoang Xuan Phu

Publication date: 18 February 1996

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

Full work available at URL: https://doi.org/10.1007/bf02193061

zbMATH Keywords

quasiconvex functionssubdifferentials\(\gamma\)-convex functions

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Convexity of real functions of several variables, generalizations (26B25)

Related Items (15)

Six kinds of roughly convex functions ⋮ Some properties of boundedly perturbed strictly convex quadratic functions ⋮ Some properties of globally δ-convex functions^∗ ⋮ Strictly and roughly convexlike functions ⋮ Piecewise constant roughly convex functions ⋮ Maximizing strictly convex quadratic functions with bounded perturbations ⋮ Outer Γ-Convexity in Vector Spaces ⋮ Supremizers of inner \(\gamma\)-convex functions ⋮ Generalized convexities and generalized gradients based on algebraic operations ⋮ Stability Of Generalized Convex Functions With Respect To Linear Disturbances^* ⋮ Symmetrically_γ-Convex Functions ⋮ What is quasiconvex analysis? ⋮ Some analytical properties of \(\gamma\)-convex functions on the real line ⋮ Some analytical properties of \(\gamma\)-convex functions in normed linear spaces ⋮ Inner \(\gamma\)-convex functions in normed linear spaces

Cites Work

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• \(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on the real line
• On generalized convex functions
• Optimization of Globally Convex Functions
• State Constraints in Convex Control Problems of Bolza

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