Continuity of Optimal Solution Functions and their Conditions on Objective Functions

DOI10.1137/110850189zbMath1327.90224OpenAlexW1775297201MaRDI QIDQ3449573

Yasushi Terazono, Ayumu Matani

Publication date: 4 November 2015

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110850189

zbMATH Keywords

inverse problemsensitivity analysislineargeneralized inverseunderdeterminedconvexcontinuousinverse optimizationupper semicontinuousquasi-convexupper hemicontinuousBerge maximum theoremKomiya's inverseoptimal solution function

Mathematics Subject Classification ID

Convex programming (90C25) Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Inverse problems in linear algebra (15A29) Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear operators and ill-posed problems, regularization (47A52) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

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