Generalized connectedness for families of Arcs

DOI10.1080/02331938708843207zbMath0609.52001OpenAlexW2006272874MaRDI QIDQ3749686

Piera Mazzoleni, Erio Castagnoli

Publication date: 1987

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331938708843207

zbMATH Keywords

generalized convexityquasi-convexityseparation theoremarcwise connectedness for sets and functions

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Connected and locally connected spaces (general aspects) (54D05)

Related Items (5)

Local boundedness and continuity of generalized convex functions ⋮ A survey of recent[1985-1995advances in generalized convexity with applications to duality theory and optimality conditions] ⋮ Geodesic convexity in nonlinear optimization ⋮ Nonlinear coordinate transformations for unconstrained optimization. II: Theoretical background ⋮ Optimality conditions and duality involving arcwise connected and generalized arcwise connected functions

Cites Work

• Elementary properties of arcwise connected sets and functions
• Connected level sets, minimizing sets and uniqueness in optimization
• Theorems of the alternative and optimality conditions
• On generalized convex functions
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