A chain rule for first- and second-order epiderivatives and hypoderivatives

DOI10.1016/j.jmaa.2008.07.041zbMath1149.49022OpenAlexW2003713910MaRDI QIDQ947568

B. E. Eshmatov

Publication date: 6 October 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.07.041

zbMATH Keywords

contingent coneHadamard directional derivativesecond-order tangent setadjacent conebasic normal coneepiderivativehypoderivative

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Fréchet and Gateaux differentiability in optimization (49J50)

Related Items (10)

Higher-order sensitivity analysis in set-valued optimization under Henig efficiency ⋮ On second-order proto-differentiability of perturbation maps ⋮ Second-Order Composed Contingent Derivative of the Perturbation Map in Multiobjective Optimization ⋮ Higher-Order Optimality Conditions and Higher-Order Tangent Sets ⋮ Second-order contingent derivatives of set-valued mappings with application to set-valued optimization ⋮ Existence and boundedness of second-order Karush-Kuhn-Tucker multipliers for set-valued optimization with variable ordering structures ⋮ Second-order conditions for open-cone minimizers and firm minimizers in set-valued optimization subject to mixed constraints ⋮ Generalized second-order contingent epiderivatives in parametric vector optimization problems ⋮ Higher-order tangent epiderivatives and applications to duality in set-valued optimization ⋮ Second-order composed contingent derivatives of perturbation maps in set-valued optimization

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• Tangent Cones and Quasi-Interiorly Tangent Cones to Multifunctions
• Nonsmooth Calculus in Finite Dimensions
• A chain rule for parabolic second-order epiderivatives
• Variational Analysis
• Set-valued analysis

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