Outer Γ-Convexity in Vector Spaces

DOI10.1080/01630560802282250zbMath1149.52002OpenAlexW2093118963MaRDI QIDQ3532772

Hoang Xuan Phu

Publication date: 28 October 2008

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560802282250

zbMATH Keywords

generalized convexityseparation theoremglobal minimizerrough convexityself-Jung constantnonconvexity measuresubgradients of nonconvex functions\(\Gamma \)-local minimizerouter \(\Gamma \)-convexitysimplex property

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Axiomatic and generalized convexity (52A01) Convex functions and convex programs in convex geometry (52A41) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Optimality conditions for problems in abstract spaces (49K27)

Related Items

Global infimum of strictly convex quadratic functions with bounded perturbations ⋮ Some properties of boundedly perturbed strictly convex quadratic functions ⋮ Maximizing strictly convex quadratic functions with bounded perturbations ⋮ Inner \(\gamma\)-convex functions in normed linear spaces

Cites Work

• On Jung's constant and related constants in normed linear spaces
• Six kinds of roughly convex functions
• \(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on a normed space
• \(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on the real line
• Approximate Fixed-Point Theorems for Discontinuous Mappings
• Optimization of Globally Convex Functions
• Local boundedness and continuity of generalized convex functions
• Some Geometrical Properties of Outer γ-Convex Sets
• Symmetrically_γ-Convex Functions
• Convex Analysis
• A RESULT IN HILBERT SPACE

This page was built for publication: Outer Γ-Convexity in Vector Spaces