不变和等变阶连续向量格值算子的Hahn-Banach型定理和次微分及其在优化中的应用

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2021-10-01 DOI:10.2478/tmmp-2021-0010

A. Boccuto

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引用次数: 0

摘要

摘要我们给出了Hahn-Banach、sandwich、对偶、Moreau-Rockafellar型定理的一些版本，给出了阶连续向量格值算子的复合函数的次微分的最优性条件和一个公式，这些算子对于一个固定的同态群G是不变或等变的。作为凸约束和线性约束优化问题的应用，我们给出了一些Farkas和Kuhn-Tucker型的结果。

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Hahn-Banach-Type Theorems and Subdifferentials for Invariant and Equivariant Order Continuous Vector Lattice-Valued Operators with Applications to Optimization

Abstract We give some versions of Hahn-Banach, sandwich, duality, Moreau--Rockafellar-type theorems, optimality conditions and a formula for the subdifferential of composite functions for order continuous vector lattice-valued operators, invariant or equivariant with respect to a fixed group G of homomorphisms. As applications to optimization problems with both convex and linear constraints, we present some Farkas and Kuhn-Tucker-type results.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量