Continuity of Generalized Gradients and Multipliers Under Perturbations

DOI10.1287/moor.10.4.664zbMath0583.49019OpenAlexW2033878965MaRDI QIDQ3706063

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Publication date: 1985

Published in: Mathematics of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1287/moor.10.4.664

zbMATH Keywords

upper semicontinuitycontinuity of the multiplierscontinuity of the optimal value functionZolei, Tullio

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Fréchet and Gateaux differentiability in optimization (49J50) Methods involving semicontinuity and convergence; relaxation (49J45) Continuity and differentiation questions (26B05) Stability of control systems (93D99)

Related Items (8)

Approximation and regularisation of arbitrary sets in finite dimension ⋮ Convergence of generalized gradients ⋮ Generalized quasi-variational inequalities: duality under perturbations ⋮ Survey of input optimization¹ ⋮ Stability in generalized differentiability based on a set convergence principle ⋮ Variational convergence of composed convex functions ⋮ Slice convergence: stabilité et optimisation dans les espaces non réflexifs ⋮ Super-relaxed \((\eta)\)-proximal point algorithms, relaxed \((\eta)\)-proximal point algorithms, linear convergence analysis, and nonlinear variational inclusions

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