On the ordinal structure of the weighted set relation

MaRDI QIDQ2135509

Yousuke Araya

Publication date: 9 May 2022

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/nihonkai-mathematical-journal/volume-32/issue-2/On-the-ordinal-structure-of-the-weighted-set-relation/nihmj/1643386780.full

zbMATH Keywords

nonlinear scalarizationset relationsordinal structureweighted set relations

Mathematics Subject Classification ID

Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Operations research, mathematical programming (90-XX)

Cites Work

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• Four types of nonlinear scalarizations and some applications in set optimization
• New order relations in set optimization
• Nonconvex separation theorems and some applications in vector optimization
• Nonconvex scalarization in set optimization with set-valued maps
• Variational methods in partially ordered spaces
• Scalarization in set optimization with solid and nonsolid ordering cones
• Set Optimization—A Rather Short Introduction
• Treatment of set order relations by means of a nonlinear scalarization functional: a full characterization
• On cone convexity of set-valued maps

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