Construction of functions with uniform sublevel sets

DOI10.1007/s11590-017-1167-0zbMath1392.90103OpenAlexW2735180800MaRDI QIDQ683919

Petra Weidner

Publication date: 9 February 2018

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-017-1167-0

zbMATH Keywords

vector optimizationscalarizationmathematical financeseparation theoremsproduction theory

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items (4)

Minimization of Gerstewitz functionals extending a scalarization by Pascoletti and Serafini ⋮ Функции с однородными подуровнями на конусах ⋮ Scalarization in vector optimization with arbitrary domination sets ⋮ A new tool for the investigation of extended real-valued functions

Cites Work

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• Nonconvex separation theorems and some applications in vector optimization
• Nonconvex scalarization in set optimization with set-valued maps
• On the vectorial Ekeland's variational principle and minimal points in product spaces
• Gerstewitz functionals on linear spaces and functionals with uniform sublevel sets
• Treatment of set order relations by means of a nonlinear scalarization functional: a full characterization
• Vector variational principles for set-valued functions
• Lower semicontinuous functionals with uniform sublevel sets
• Variable Ordering Structures in Vector Optimization

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