Convex-along-rays functions and star-shaped sets

DOI10.1080/01630569808816848zbMath0910.90231OpenAlexW1990883089MaRDI QIDQ4210739

Alexander Vladimirov, Alexander Rubinov

Publication date: 1998

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

Full work available at URL: https://doi.org/10.1080/01630569808816848

zbMATH Keywords

global optimizationlower semicontinuousabstract convexitystar-shaped setsabstract subdifferentialconvex-along-rays

Mathematics Subject Classification ID

Convex programming (90C25) Nonconvex programming, global optimization (90C26) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (10)

Global optimization of the difference of two increasing plus-convex-along-rays functions ⋮ Radiant separation theorems and minimum-type subdifferentials of calm functions ⋮ Some criteria for maximal abstract monotonicity ⋮ On ℋ_n+1-convex functions: asymptotic behaviour and subdifferentials ⋮ Characterizing global maximizers of the difference of sub-topical functions ⋮ Vector topical functions and Farkas type theorems with applications ⋮ Maximal abstract monotonicity and generalized Fenchel's conjugation formulas ⋮ Subdifferentials of convex-along-rays functions ⋮ Sub-topical functions and plus-co-radiant sets ⋮ Abstract convexity:examples and applications

Cites Work

• Random fixed-point theorems and approximation in cones
• Some fixed point theorems for concentrative mappings between locally convex linear topological spaces

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