Regularized classical optimality conditions in iterative form for convex optimization problems for distributed Volterra-type systems

DOI10.35634/vm210208zbMath1483.49029OpenAlexW3175665168MaRDI QIDQ5037457

V. I. Sumin, M. I. Sumin

Publication date: 1 March 2022

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu769

zbMATH Keywords

dualityiterative regularizationill-posednessdistributed systemLagrange principlePontryagin maximum principleregularizing operatorconvex optimal controlfunctional-operator equation of Volterra typeminimizing approximate solution

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Functional equations for real functions (39B22) Duality theory (optimization) (49N15) Linear operators and ill-posed problems, regularization (47A52)

Related Items (2)

On regularization of the Lagrange principle in the optimization problems for linear distributed Volterra type systems with operator constraints ⋮ On the iterative regularization of the Lagrange principle in convex optimal control problems for distributed systems of the Volterra type with operator constraints

Cites Work

• Regularized parametric Kuhn-Tucker theorem in a Hilbert space
• Duality-based regularization in a linear convex mathematical programming problem
• The regularized iterative Pontryagin maximum principle in optimal control. II. Optimization of a distributed system
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