The Nonlinear Separation Theorem and a Representation Theorem for Bishop–Phelps Cones

DOI10.1007/978-3-319-18161-5_36zbMath1370.90190OpenAlexW2295691102MaRDI QIDQ5357006

Nergiz Kasimbeyli, Refail Kasimbeyli

Publication date: 12 September 2017

Published in: Advances in Intelligent Systems and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18161-5_36

zbMATH Keywords

representation theoremBishop-Phelps conenonlinear separation theoremaugmented dual cone

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48)

Related Items (3)

Coradiant sets and \(\varepsilon \)-efficiency in multiobjective optimization ⋮ Linear and conic scalarizations for obtaining properly efficient solutions in multiobjective optimization ⋮ Hartley properly and super nondominated solutions in vector optimization with a variable ordering structure

Cites Work

• Properly optimal elements in vector optimization with variable ordering structures
• Optimality conditions in nonconvex optimization via weak subdifferentials
• Support cones in Banach spaces and their applications
• Existence and characterization theorems in nonconvex vector optimization
• A conic scalarization method in multi-objective optimization
• On a Theorem of Arrow, Barankin, and Blackwell
• On Weak Subdifferentials, Directional Derivatives, and Radial Epiderivatives for Nonconvex Functions
• A Nonlinear Cone Separation Theorem and Scalarization in Nonconvex Vector Optimization
• Radial epiderivatives and set-valued optimization
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