Categorical properties of solvability for one class of minimization problems

DOI10.1007/s10559-011-9293-7zbMath1311.46065OpenAlexW2085339681MaRDI QIDQ464851

J. Herrera, D. Rodríguez-Gómez

Publication date: 30 October 2014

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-011-9293-7

zbMATH Keywords

vector optimizationminimizationMinkowski functionalsemicontinuous functionBaire categoryKadets-Klee property

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Control/observation systems in abstract spaces (93C25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Cites Work

• Derivatives of generalized farthest functions and existence of generalized farthest points
• Porosity of perturbed optimization problems in Banach spaces
• Semi-continuous mappings in general topology
• On a generalized best approximation problem
• On well posed generalized best approximation problems
• Existence of generalized nearest points
• Linear variational principle for convex vector maximization
• Generic Frechet-Differentiability and Perturbed Optimization Problems in Banach Spaces
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