Derives extremum conditions for nonsmooth problems in Fréchet space, indicating new methodologies.
This paper derives necessary first and second-order extremum conditions for nonsmooth extremal problems with constraints in a Fréchet space. It also derives an analog of the Kuhn-Tucker theorem for a mathematical programming problem in a Fréchet space in the case of an operator constraint with equality. It also derives a second-order necessary extremum condition for nonsmooth mathematical programming problems, which is an analog of the second-order Levitin-Milyutin-Osmolovskii theorem.
No takes yet. Share an insight, caveat, or question.
Sadygov Misraddin Allahverdi oglu (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: