Directional subdifferentials and optimality conditions

DOI10.1007/s11117-011-0142-8zbMath1254.49007OpenAlexW2037217882MaRDI QIDQ1928248

Ivan Ginchev, Boris S. Mordukhovich

Publication date: 2 January 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=1088&context=math_reports

zbMATH Keywords

nonsmooth optimizationnecessary and sufficient optimality conditionsvariational analysiscalculus rulesdirectional normals and subgradients

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Optimality conditions for problems in abstract spaces (49K27)

Related Items (4)

Calculus of directional subdifferentials and coderivatives in Banach spaces ⋮ Calculus of directional coderivatives and normal cones in Asplund spaces ⋮ Subdifferentials and derivatives with respect to a set and applications to optimization ⋮ Directionally generalized differentiation for multifunctions and applications to set-valued programming problems

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• On Computing the Mordukhovich Subdifferential Using Directed Sets in Two Dimensions
• Second-Order Necessary Conditions in Constrained Semismooth Optimization
• Directionally Lipschitzian Functions and Subdifferential Calculus
• Exhausters af a positively homogeneous function^*

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