Regularized nonlinear scalarization for vector optimization problems with PDE-constraints

DOI10.1002/gamm.201210014zbMath1256.49048OpenAlexW2016420260MaRDI QIDQ4900447

Ralph Schiel, Günter R. Leugering

Publication date: 24 January 2013

Published in: GAMM-Mitteilungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/gamm.201210014

zbMATH Keywords

optimal controlvector optimizationnonlinear scalarizationPDE-constraintsnonsolid ordering conesGerstewitz function

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Regularity of solutions in optimal control (49N60)

Related Items (2)

Scalarization in vector optimization with arbitrary domination sets ⋮ On the Intrinsic Core of Convex Cones in Real Linear Spaces

Uses Software

• NBI

Cites Work

• Nonconvex separation theorems and some applications in vector optimization
• Vectorial form of Ekeland-type variational principle in locally convex spaces and its applications
• Nonconvex scalarization in set optimization with set-valued maps
• A note on vector network equilibrium principles
• Differentiability of Lipschitz functions on Banach spaces
• Lagrange multipliers for \(\varepsilon \)-Pareto solutions in vector optimization with nonsolid cones in Banach spaces
• Scalarizing vector optimization problems
• Vector network equilibrium problems and nonlinear scalarization methods
• Vector optimization. Set-valued and variational analysis.
• A nonlinear scalarization function and generalized quasi-vector equilibrium problems
• Unnamed Item

This page was built for publication: Regularized nonlinear scalarization for vector optimization problems with PDE-constraints