Higher-order conditions for strict local Pareto minima in terms of generalized lower and upper directional derivatives

DOI10.1016/J.JMAA.2012.04.021zbMath1270.90066OpenAlexW2011877467MaRDI QIDQ432361

Marcin Studniarski, El-Desouky Rahmo

Publication date: 4 July 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.04.021

zbMATH Keywords

vector optimizationhigher-order conditionslower and upper directional derivatives

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items (4)

Higher-order conditions for strict local Pareto minima for problems with partial order introduced by a polyhedral cone ⋮ Necessary and sufficient conditions for a Pareto optimal allocation in a discontinuous Gale economic model ⋮ Higher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth Optimization ⋮ Lower and upper ginchev derivatives of vector functions and their applications to multiobjective optimization

Cites Work

• Lower Studniarski derivative of the perturbation map in parametrized vector optimization
• Higher-order optimality conditions for strict local minima
• Scalarization and optimality conditions for strict minimizers in multiobjective optimization via contingent epiderivatives
• Variational methods in partially ordered spaces
• Strict minimality conditions in nondifferentiable multiobjective programming
• Higher Order Efficiency, Saddle Point Optimality, and Duality for Vector Optimization Problems
• Higher-order necessary and sufficient conditions for strict local pareto minima in terms of Studniarski's derivatives
• Necessary and Sufficient Conditions for Isolated Local Minima of Nonsmooth Functions
• Variational Analysis
• Strict efficiency in vector optimization

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