On proto-differentiability and strict proto-differentiability of multifunctions of feasible points in perturbed optimization problems

DOI10.1080/01630569508816674zbMath0857.49011OpenAlexW2075308281MaRDI QIDQ4883637

Tijani Amahroq, Lionel Thibault

Publication date: 2 July 1996

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569508816674

zbMATH Keywords

optimizationmultifunctionsproto-differentiability

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

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Cites Work

• Metric regularity, tangent sets, and second-order optimality conditions
• Approximate subdifferential and metric regularity: The finite-dimensional case
• Quasi-interiorly e-tangent cones to multifunctions
• Lipschitzian properties of multifunctions
• Optimization and nonsmooth analysis
• On the local surjection property
• A Comparative Study of Multifunction Differentiability with Applications in Mathematical Programming
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems