Gerstewitz functionals on linear spaces and functionals with uniform sublevel sets

DOI10.1007/s10957-017-1098-zzbMath1387.46012OpenAlexW2595386688MaRDI QIDQ2412833

Petra Weidner

Publication date: 27 October 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-017-1098-z

zbMATH Keywords

Minkowski functionallinear spaceGerstewitz functional

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Mathematical economics (91B99) Topological linear spaces and related structures (46A99)

Related Items (13)

Lower semicontinuous functionals with uniform sublevel sets ⋮ New vectorial versions of Takahashi's nonconvex minimization problem ⋮ Minimization of Gerstewitz functionals extending a scalarization by Pascoletti and Serafini ⋮ Relationships between the oriented distance functional and a nonlinear separation functional ⋮ Vector optimization with domination structures: variational principles and applications ⋮ Asymptotic analysis of scalarization functions and applications ⋮ Scalarization in vector optimization with arbitrary domination sets ⋮ Set relations and weak minimal solutions for nonconvex set optimization problems with applications ⋮ Construction of functions with uniform sublevel sets ⋮ Weak minimal elements and weak minimal solutions of a nonconvex set-valued optimization problem ⋮ Scalarization functionals with uniform level sets in set optimization ⋮ A new tool for the investigation of extended real-valued functions ⋮ Unnamed Item

Cites Work

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• Lipschitz properties of the scalarization function and applications
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• Lower semicontinuous functionals with uniform sublevel sets
• Sublinear Functionals and Ideals in Partially Ordered Vector Spaces
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