Optimality conditions for weak \({\psi}\) -sharp minima in vector optimization problems

DOI10.1007/s11117-012-0182-8zbMath1272.90080OpenAlexW2133367137MaRDI QIDQ369636

Mohammad Hasan, M. Dambrine, H. S. Yoon

Publication date: 19 September 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-012-0182-8

zbMATH Keywords

vector optimizationnormal coneoptimality conditionweak \({\psi}\) -sharp minima

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31)

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Estimates of Error Bounds for Some Sets of Efficient Solutions of a Set-Valued Optimization Problem

Cites Work

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• Weak sharp minima for piecewise linear multiobjective optimization in normed spaces
• Weak sharp minima revisited. III: Error bounds for differentiable convex inclusions
• First and second order sufficient conditions for strict minimality in nonsmooth vector optimization.
• Weak \(\psi \)-sharp minima in vector optimization problems
• Weak sharp minima revisited. II: Application to linear regularity and error bounds
• Weak Sharp Minima in Mathematical Programming
• FIRST AND SECOND ORDER SUFFICIENT CONDITIONS FOR STRICT MINIMALITY IN MULTIOBJECTIVE PROGRAMMING
• Strict Efficiency in Set-Valued Optimization
• Weak Sharp Solutions of Variational Inequalities
• Weak Sharp Solutions of Variational Inequalities in Hilbert Spaces
• Weak sharp efficiency and growth condition for vector-valued functions with applications
• Weak Sharp Minima: Characterizations and Sufficient Conditions
• Weak Sharp Minima in Multicriteria Linear Programming
• A subdifferential condition for calmness of multifunctions
• Strict efficiency in vector optimization