Conjugate derivative of a multivalued mapping and the differentiability of the maximum under connected constraints

DOI10.1007/BF00968631zbMath0589.90079MaRDI QIDQ1074504

Alexander Rubinov

Publication date: 1985

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/62578

zbMATH Keywords

multivalued mappingdirectional differentiabilitymaximum functionconjugate derivative

Mathematics Subject Classification ID

Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Set-valued maps in general topology (54C60) Numerical methods based on nonlinear programming (49M37)

Related Items

Stochastic gradient algorithm of the iterative penalty method solving the maximin problem with coupled constraints, Approximation of slow solutions to differential inclusions, A calculus for set-valued maps and set-valued evolution equations

Cites Work

• Lagrange multipliers and subderivatives of optimal value functions in nonlinear programming
• Directional Derivatives for Extremal-Value Functions with Applications to the Completely Convex Case
• Sufficient conditions for extremum, penalty functions and regularity
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