Interior mapping theorem with set-valued derivatives

DOI10.1007/BF02786714zbMath0349.49016MaRDI QIDQ1234896

Hubert Halkin

Publication date: 1976

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Mathematics Subject Classification ID

Optimality conditions for problems in abstract spaces (49K27) Mathematical programming (90C99) Optimality conditions (49K99)

Related Items

Homeomorphisms and generalized derivatives, An open mapping principle for set-valued maps, Global invertibility of nonsmooth mappings, On ranges of non-linear operators, Optimality conditions in terms of Bouligand derivatives for Pareto efficiency in set-valued optimization, Infinite dimensional generalized Jacobian: properties and calculus rules, An inversion theorem for set-valued maps, Hadamard's theorem for locally Lipschitzian maps, On the Caratheodory-John multiplier rule, Subdifferentials of nonconvex vector-valued functions, Multiplier rules and the separation of convex sets, Unnamed Item, A covering theorem for set-valued mappings, Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions, Generalized Jacobian for functions with infinite dimensional range and domain, Co-Jacobian for Lipschitzian maps, Analysis and optimization of Lipschitz continuous mappings, A minimal set-valued strong derivative for vector-valued Lipschitz functions, Univalence and degree for Lipschitz continuous maps, Local convex analysis, On generalized differentials and subdifferentials of Lipschitz vector-valued functions

Cites Work

• Necessary conditions without differentiability assumptions in optimal control
• On the necessary condition for optimal control of nonlinear systems
• Implicit Functions and Optimization Problems without Continuous Differentiability of the Data