Lower and upper ginchev derivatives of vector functions and their applications to multiobjective optimization

DOI10.1007/s11590-012-0604-3zbMath1317.90268OpenAlexW1974269429WikidataQ59398306 ScholiaQ59398306MaRDI QIDQ2448144

Aleksandra Stasiak, El-Desouky Rahmo, Marcin Studniarski

Publication date: 30 April 2014

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-012-0604-3

zbMATH Keywords

vector optimizationpolyhedral conehigher-order conditionsGinchev derivatives

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items (3)

Higher-order conditions for strict local Pareto minima for problems with partial order introduced by a polyhedral cone ⋮ Error bound analysis for vector equilibrium problems with partial order provided by a polyhedral cone ⋮ Strict vector variational inequalities and strict Pareto efficiency in nonconvex vector optimization

Cites Work

• Higher-order conditions for strict local Pareto minima in terms of generalized lower and upper directional derivatives
• From scalar to vector optimization.
• A survey of recent developments in multiobjective optimization
• Higher-order conditions for strict efficiency
• Pareto Optimality
• Strict efficiency in vector optimization
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