On higher-order adjacent derivative of perturbation map in parametric vector optimization

DOI10.1186/s13660-016-1059-3zbMath1343.90088OpenAlexW2332880603WikidataQ59436933 ScholiaQ59436933MaRDI QIDQ267712

Le Thanh Tung

Publication date: 11 April 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1059-3

zbMATH Keywords

higher-order adjacent derivativehigher-order sensitivity analysisparameterized vector optimization problemperturbation mapproper perturbation mapweak perturbation map

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (6)

On higher-order proto-differentiability and higher-order asymptotic proto-differentiability of weak perturbation maps in parametric vector optimization ⋮ Unnamed Item ⋮ On higher-order proto-differentiability of perturbation maps ⋮ Variational sets and asymptotic variational sets of proper perturbation map in parametric vector optimization ⋮ Second-Order Composed Contingent Derivative of the Perturbation Map in Multiobjective Optimization ⋮ On Second-Order Composed Proto-Differentiability of Proper Perturbation Maps in Parametric Vector Optimization Problems

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