Local boundedness and continuity of generalized convex functions

DOI10.1080/02331939208843838zbMath0815.26004OpenAlexW2061018980MaRDI QIDQ4327957

Helga Hartwig

Publication date: 14 June 1995

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939208843838

zbMATH Keywords

boundednesssemicontinuityrank 1 convexityrough convexity

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Convex functions and convex programs in convex geometry (52A41) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Related Items

Six kinds of roughly convex functions ⋮ 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 ⋮ 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On generalized means and generalized convex functions
• Convexity conditions and existence theorems in nonlinear elasticity
• Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
• Quasi-convexity and the lower semicontinuity of multiple integrals
• Subfunctions of several variables
• On generalized convex functions
• Generalized convexities of lower semicontinuous functions
• Generalized connectedness for families of Arcs
• On $\Phi $-Convexity in Extremal Problems
• Optimization of Globally Convex Functions
• Generalized convex functions

This page was built for publication: Local boundedness and continuity of generalized convex functions