ON THE LAGRANGE MULTIPLIER RULE FOR MINIMIZING SEQUENCES

DOI10.32523/2077-9879-2023-14-1-08-15MaRDI QIDQ6114121

Sergey Zhukovskiy, Aram V. Arutyunov

Publication date: 14 August 2023

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

Full work available at URL: http://mathnet.ru/eng/emj458

zbMATH Keywords

optimality conditionconstraint optimizationminimizing sequenceLagrange multiplier ruleCaristi-like condition

Mathematics Subject Classification ID

Optimality conditions for problems in abstract spaces (49K27)

Cites Work

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• Caristi's condition and existence of a minimum of a lower bounded function in a metric space. Applications to the theory of coincidence points
• One remark to Ekeland's variational principle
• A simple `finite approximations' proof of the Pontryagin maximum principle under reduced differentiability hypotheses
• Convex and Set-Valued Analysis
• Implicit Functions and Optimization Problems without Continuous Differentiability of the Data

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