On the concept of generalized order optimality

DOI10.1016/j.na.2011.08.047zbMath1269.90102OpenAlexW2006103177MaRDI QIDQ654100

Nguyen Dong Yen, Nguyen Van Tuyen

Publication date: 21 December 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.08.047

zbMATH Keywords

Pareto efficiencynecessary optimality conditionsufficient optimality conditiongeneralized order optimalitySlater efficiency

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Set-valued and variational analysis (49J53)

Related Items (3)

Existence theorems in vector optimization with generalized order ⋮ Some characterizations of solution sets of vector optimization problems with generalized order ⋮ Improvement sets and vector optimization

Cites Work

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• Suboptimality conditions for mathematical programs with equilibrium constraints
• Qualitative properties of trajectories of control systems: a survey
• Necessary conditions in multiobjective optimization with equilibrium constraints
• Necessary and sufficient conditions for linear suboptimality in constrained optimization
• Set-valued optimization in welfare economics
• Variational Analysis

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