Nonlinear programming problems associated with closed range operators

DOI10.1007/S002459900123zbMath0942.49024OpenAlexW2013809620WikidataQ127753776 ScholiaQ127753776MaRDI QIDQ1304962

Sergiu Aizicovici, Motreanu, Dumitru, Nicolae H. Pavel

Publication date: 21 August 2000

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002459900123

zbMATH Keywords

optimality conditionsnonlinear programmingtangent coneClarke's generalized gradientswave operatorclosed range operators

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Equations involving nonlinear operators (general) (47J05) Equations involving linear operators, with operator unknowns (47A62) Optimality conditions for problems in abstract spaces (49K27) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

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Closed range mild solution operators and nonconvex optimal control via orthogonality and generalized gradients ⋮ Some properties of general minimization problems with constraints ⋮ Optimal control problems for a class of semilinear multisolution elliptic equations ⋮ Nonlinear Problems in Mathematical Programming and Optimal Control ⋮ Optimal control of the periodic string equation with internal control

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