On the closure of the feasible set in generalized semi-infinite programming

DOI10.1007/s10100-007-0030-2zbMath1151.90562OpenAlexW2014889731MaRDI QIDQ940805

Hubertus Th. Jongen, Harald Günzel, Oliver Stein

Publication date: 3 September 2008

Published in: CEJOR. Central European Journal of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10100-007-0030-2

zbMATH Keywords

projectionsemi-infinite programminggenericityfeasible set

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31) Semi-infinite programming (90C34)

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Inner regularizations and viscosity solutions for pessimistic bilevel optimization problems ⋮ How to solve a design centering problem ⋮ A lifting method for generalized semi-infinite programs based on lower level Wolfe duality ⋮ An upper estimate for the Clarke subdifferential of an infimal value function proved via the Mordukhovich subdifferential ⋮ Global optimization of generalized semi-infinite programs via restriction of the right hand side ⋮ Generalized semi-infinite programming: The symmetric reduction ansatz ⋮ Global optimization of generalized semi-infinite programs using disjunctive programming ⋮ Generalized semi-infinite programming: On generic local minimizers ⋮ How to solve a semi-infinite optimization problem ⋮ On topological properties of min-max functions ⋮ Optimality conditions for nonsmooth generalized semi-infinite programs ⋮ Lower level duality and the global solution of generalized semi-infinite programs

Cites Work

• One-parameter families of feasible sets in semi-infinite optimization
• Bi-level strategies in semi-infinite programming.
• Nonlinear optimization in finite dimensions. Morse theory, Chebyshev approximation, transversality, flows, parametric aspects
• First-Order Optimality Conditions for Degenerate Index Sets in Generalized Semi-Infinite Optimization
• Semi-Infinite Programming: Theory, Methods, and Applications
• A semi-infinite approach to design centering
• Unnamed Item

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