Lipschitzian Multifunctions and a Lipschitzian Inverse Mapping Theorem

DOI10.1287/MOOR.26.1.105.10600zbMath1073.90553OpenAlexW2162151148MaRDI QIDQ2757672

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Publication date: 26 November 2001

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

Full work available at URL: https://doi.org/10.1287/moor.26.1.105.10600

zbMATH Keywords

Kernel inverting matrix, Lipschitzian manifold, solution mapping, strict derivative, hypomonotonicity, sensitivity analysis, variational condition, nonlinear programming

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52)

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Calculus rules for derivatives of multimaps ⋮ A proximal method for composite minimization ⋮ On proto-differentiability of generalized perturbation maps ⋮ Constrained consumptions, Lipschitzian demands, and regular economies ⋮ Equations on monotone graphs ⋮ On higher-order sensitivity analysis in nonsmooth vector optimization ⋮ Consistency analysis of a local Lipschitz homeomorphism of an SAA normal mapping for a parametric stochastic variational inequality ⋮ Sensitivity of solutions to a parametric generalized equation ⋮ Codifferential calculus ⋮ Stability of inclusions: characterizations via suitable Lipschitz functions and algorithms ⋮ Semismoothness of solutions to generalized equations and the Moreau-Yosida regularization

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