On constructing total orders and solving vector optimization problems with total orders

DOI10.1007/s10898-010-9576-yzbMath1242.90214OpenAlexW2018971922MaRDI QIDQ540702

Mustafa Soyertem, Yalçın Küçük, Küçük, Mahide

Publication date: 3 June 2011

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-010-9576-y

zbMATH Keywords

scalarizationtotal ordernonconvex analysis

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29)

Related Items (15)

Interval-valued seminormed fuzzy operators based on admissible orders ⋮ Various types of well-posedness for vector equilibrium problems with respect to the lexicographic order ⋮ Vectorization of set-valued maps with respect to total ordering cones and its applications to set-valued optimization problems ⋮ Levitin-Polyak well-posedness for lexicographic vector equilibrium problems ⋮ A lexicographical order induced by Schauder bases ⋮ Well-Posedness for Lexicographic Vector Equilibrium Problems ⋮ Semicontinuity and closedness of parametric generalized lexicographic quasiequilibrium problems ⋮ Step-affine functions, halfspaces, and separation of convex sets with applications to convex optimization problems ⋮ Levitin-Polyak well-posedness for equilibrium problems with the lexicographic order ⋮ The generalization of total ordering cones and vectorization to separable Hilbert spaces ⋮ On the Scalarization of Set-Valued Optimization Problems with Respect to Total Ordering Cones ⋮ New coupled fixed point theorems in cone metric spaces with applications to integral equations and Markov process ⋮ Tykhonov well-posedness for lexicographic equilibrium problems ⋮ Continuity properties of solution maps of parametric lexicographic equilibrium problems ⋮ Well-posedness for lexicographic vector quasiequilibrium problems with lexicographic equilibrium constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pareto optimality, game theory and equilibria
• Notwendige Optimalitätsbedingungen und ihre Anwendung
• Optimality conditions for set-valued optimization problems
• A survey of recent developments in multiobjective optimization
• Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.)
• An Existence Theorem in Vector Optimization
• Multicriteria Optimization

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