\(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on the real line

DOI10.1007/BF01195979zbMath0798.49024OpenAlexW2097129372MaRDI QIDQ2366092

Hoang Xuan Phu

Publication date: 29 June 1993

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195979

zbMATH Keywords

\(\gamma\)-convexity

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Axiomatic and generalized convexity (52A01) Programming in abstract spaces (90C48) Convexity of real functions in one variable, generalizations (26A51) Derivatives of functions in infinite-dimensional spaces (46G05) Optimality conditions for problems in abstract spaces (49K27) Optimality conditions for free problems in one independent variable (49K05)

Related Items (18)

\(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on a normed space ⋮ Six kinds of roughly convex functions ⋮ Some properties of boundedly perturbed strictly convex quadratic functions ⋮ \(E\)-subdifferential of \(E\)-convex functions and its applications to minimization problem ⋮ Some properties of globally δ-convex functions^∗ ⋮ Strictly and roughly convexlike functions ⋮ Piecewise constant roughly convex functions ⋮ A survey of recent[1985-1995advances in generalized convexity with applications to duality theory and optimality conditions] ⋮ Outer Γ-Convexity in Vector Spaces ⋮ Supremizers of inner \(\gamma\)-convex functions ⋮ Generalized convexities and generalized gradients based on algebraic operations ⋮ A Note on roughly convex functions ⋮ 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

• On generalized convex functions
• Optimization of Globally Convex Functions
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