On the Second Order Sufficient Optimality Conditions for a Problem of Mathematical Programming

IF 0.6 4区数学 Q3 MATHEMATICS

Mathematical Notes Pub Date : 2024-04-22 DOI:10.1134/s0001434624010140

A. V. Arutyunov, S. E. Zhukovskiy

引用次数: 0

Abstract

We consider the constrained optimization problem for a smooth function defined on a Banach space with smooth constraints of equality and inequality type. We show that for this problem, under the known sufficient second-order optimality conditions, the set of Lagrange multipliers can be replaced by a smaller set.

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论数学编程问题的二阶充分最优条件

摘要我们考虑了一个定义在巴拿赫空间上的光滑函数的约束优化问题，该函数带有平等和不平等类型的光滑约束。我们证明，对于这个问题，在已知的充分二阶最优条件下，拉格朗日乘数集可以用一个更小的集来代替。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.