Optimality conditions for set optimization using a directional derivative based on generalized Steiner sets

DOI10.1080/02331934.2020.1812605zbMath1498.90209OpenAlexW2991580901MaRDI QIDQ5093683

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Publication date: 1 August 2022

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2019200537

zbMATH Keywords

optimality conditiondirectional derivativeset optimizationset differencegeneralized Steiner set

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)

Related Items (1)

Solving set-valued optimization problems using a multiobjective approach

Cites Work

• Vectorization in set optimization
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• Set Optimization—A Rather Short Introduction
• Vector Optimization Problems and Their Solution Concepts
• Set-valued optimization in welfare economics
• Characterizations of strictly convex sets by the uniqueness of support points
• On Classes of Set Optimization Problems which are Reducible to Vector Optimization Problems and its Impact on Numerical Test Instances
• Set-valued Optimization
• The Steiner Point of a Convex Polytope
• Differences of convex compact sets in the space of directed sets. I: The space of directed sets
• Differences of convex compact sets in the space of directed sets. II: Visualization of directed sets
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