Critical points index for vector functions and vector optimization

DOI10.1007/s10957-008-9383-5zbMath1191.90059OpenAlexW2073673575MaRDI QIDQ1014005

Matteo Rocca, Elena Molho, Enrico Miglierina

Publication date: 24 April 2009

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

Full work available at URL: https://doi.org/10.1007/s10957-008-9383-5

zbMATH Keywords

vector optimizationcritical pointsMorse indexsecond-order differentials

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items (6)

Global search perspectives for multiobjective optimization ⋮ On the hierarchical structure of Pareto critical sets ⋮ Critical points index for vector functions and vector optimization ⋮ A mountain pass-type theorem for vector-valued functions ⋮ Steepest descent methods for critical points in vector optimization problems ⋮ Newton-like methods for solving vector optimization problems

Cites Work

• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Critical points index for vector functions and vector optimization
• Theory of multiobjective optimization
• On the notion of proper efficiency in vector optimization
• Nonlinear optimization in finite dimensions. Morse theory, Chebyshev approximation, transversality, flows, parametric aspects
• Slow solutions of a differential inclusion and vector optimization
• Constrained optimization and image space analysis. Vol. 1: Separation of sets and optimality conditions
• Variational Analysis
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