A unified stability result with perturbations in vector optimization

DOI10.1007/s11590-012-0533-1zbMath1287.90062OpenAlexW1983025619MaRDI QIDQ395863

Yang, Xinmin, Ke Quan Zhao

Publication date: 30 January 2014

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

Full work available at URL: https://doi.org/10.1007/s11590-012-0533-1

zbMATH Keywords

stabilityvector optimizationperturbationimprovement set

Mathematics Subject Classification ID

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

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Cites Work

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• Parametrized multicriteria optimization: Continuity and closedness of optimal multifunctions
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• Stability of nondominated solutions in multicriteria decision-making
• Another observation on conditions assuring \(\text{int }A+B= \text{int}(A+B)\)
• Convergence of the efficient sets
• The convexity of \(A\) and \(B\) assures \(\text{int} A + B = \text{int}(A + B)\)
• Stability of efficient sets: continuity of mobile polarities
• An Existence Theorem in Vector Optimization
• Variational Analysis

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