Sensitivity analysis of parametric vector set-valued optimization problems via coderivatives

DOI10.11650/TWJM/1500406484zbMath1246.49023OpenAlexW4252222148MaRDI QIDQ449576

C. M. Liao, Jen-Chih Yao, Sheng Jie Li, Xiao-Wei Xue

Publication date: 31 August 2012

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/view/1448

zbMATH Keywords

sensitivity analysis(Fréchet) coderivative(Fréchet) normal coneefficient point set-valued mapparametric set-valued optimization

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Fréchet and Gateaux differentiability in optimization (49J50)

Related Items (5)

Coderivatives and Aubin properties of solution mappings for parametric vector variational inequality problems ⋮ Extension of the value function reformulation to multiobjective bilevel optimization ⋮ Sensitivity Analysis of Multiobjective Optimization Problems with Parameterized Quasi-Variational Inequalities ⋮ Coderivatives and Aubin property of efficient point and efficient solution set-valued maps in parametric vector optimization ⋮ On the Hölder continuity of solution maps to parametric generalized vector quasi-equilibrium problems via nonlinear scalarization

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