Nonseparation of Sets and Optimality Conditions

DOI10.1137/16M1074965zbMath1366.49026OpenAlexW2618978763MaRDI QIDQ5346509

Mikhail I. Krastanov, Nadezhda Ribarska

Publication date: 24 May 2017

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1074965

zbMATH Keywords

infinite-dimensional problemsPontryagin's maximum principleLagrange multiplier ruleapproximating conenon-separation of sets

Mathematics Subject Classification ID

Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Initial value problems for nonlinear first-order PDEs (35F25) Optimality conditions for problems in abstract spaces (49K27)

Related Items (5)

On strong tangential transversality ⋮ Transversality versus strong tangential transversality ⋮ A Functional Analytic Approach to a Bolza Problem ⋮ Unnamed Item ⋮ On tangential transversality

Cites Work

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• On the geometry of the Pontryagin maximum principle in Banach spaces
• Some inverse mapping theorems
• On the variational principle
• A multiplier rule on a metric space
• A proof of a general maximum principle for optimal controls via a multiplier rule on metric space
• A Pontryagin Maximum Principle for Infinite-Dimensional Problems
• Clarke's tangent cones and the boundaries of closed sets in Rn
• Strong Derivatives and Inverse Mappings
• Variational Analysis
• On the Intersection of a Clarke Cone with a Boltyanskii Cone

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