Work

On Nonsmooth Problems of Mathematical Programming

Year: 2026

Type: article

Abstract: 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.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.20444527

Author: Sadygov Misraddin Allahverdi oglu

Institution: Baku State University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7162802196

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