Nondifferential Kuhn–Tucker theorems in constrained extremum problems via subdifferentials of nonsmooth analysis

DOI10.20310/2686-9667-2020-25-131-307-330OpenAlexW3094614833MaRDI QIDQ5012431

M. I. Sumin

Publication date: 24 November 2021

Published in: Russian Universities Reports. Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtamu188

zbMATH Keywords

perturbation methodsubdifferentialsvalue functionconvex analysisconstrained extremum problemnondifferential Kuhn-Tucker theoremnonsmooth (nonlinear) analysis

Mathematics Subject Classification ID

Real functions (26-XX) Numerical analysis (65-XX)

Related Items (4)

On the iterative regularization of the Lagrange principle in convex optimal control problems for distributed systems of the Volterra type with operator constraints ⋮ On ill-posed problems, extremals of the Tikhonov functional and the regularized Lagrange principles ⋮ Lagrange principle and its regularization as a theoretical basis of stable solving optimal control and inverse problems ⋮ On regularization of the nondifferential Kuhn-Tucker theorem in a nonlinear problem for constrained extremum

Cites Work

• Stable sequential Kuhn-Tucker theorem in iterative form or a regularized Uzawa algorithm in a regular nonlinear programming problem
• Regularized parametric Kuhn-Tucker theorem in a Hilbert space
• Stable sequential convex programming in a Hilbert space and its application for solving unstable problems
• Optimization and nonsmooth analysis
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