On regularization of the nondifferential Kuhn-Tucker theorem in a nonlinear problem for constrained extremum

DOI10.20310/2686-9667-2022-27-140-351-374OpenAlexW4313823565MaRDI QIDQ5871453

M. I. Sumin

Publication date: 19 January 2023

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

Full work available at URL: http://mathnet.ru/eng/vtamu271

zbMATH Keywords

perturbation methodill-posed problemvalue functiondual regularizationmodified Lagrange functionproximal subgradientconstrained extremumoperator constraintgeneralized minimizing sequencenondifferential Kuhn-Tucker theoremnonlinear parametric problem

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31) Nonlinear ill-posed problems (47J06) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Optimality conditions for problems in abstract spaces (49K27)

Cites Work

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• Sequential stable Kuhn-Tucker theorem in nonlinear programming
• Regularized dual method for nonlinear mathematical programming

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