Application of the method of contractor directions to the Dubovitskii- Milyutin formalism

DOI10.1016/0022-247X(87)90172-7zbMath0634.49004OpenAlexW2074318673MaRDI QIDQ1096878

Urszula Łedzewicz-Kowalewska

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(87)90172-7

zbMATH Keywords

limit setslopetangent directionsmethod of contractor directionsGâteaux differentiable operatorsoptimization problem in Banach spaces

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Fréchet and Gateaux differentiability in optimization (49J50) Existence theories for problems in abstract spaces (49J27) Optimality conditions for problems in abstract spaces (49K27)

Related Items (8)

Optimality and pareto optimality conditions for the problems with nonregular operator equality constraints ⋮ On the optimal control problems with Gâteaux differentiable operator constraints ⋮ A necessary condition for the extremal problems under Gâteaux differentiability ⋮ On some specification of the Dubovicki-Milutin theorem for Pareto optimal problems ⋮ Maximum principle for the general optimal control problem with phase and regular mixed constraints ⋮ On extremum problems in the presence of unbounded operator constraint ⋮ A necessary and sufficient condition for Altman's maximal element problem for constraint sets with many equalities ⋮ Euler-Lagrange equation in the case of nonregular equality constraints

Cites Work

• Unnamed Item
• Contractor directions, directional contractors and directional contractions for solving equations
• On some specification of the Dubovitskii-Milyutin method
• An application of the method of contractor directions to nonlinear programming

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