Perturbation Method in Orlicz Sequence Spaces

IF 1.3 3区数学 Q2 MATHEMATICS, APPLIED

Set-Valued and Variational Analysis Pub Date : 2024-04-02 DOI:10.1007/s11228-024-00715-5

引用次数: 0

Abstract

We develop a new perturbation method in Orlicz sequence spaces \(\ell _{M}\) with Orlicz function \(M\) satisfying \(\Delta _{2}\) condition at zero. This result allows one to support from below any bounded below lower semicontinuous function with bounded support, with a perturbation of the defining function \(\sigma _{M}\) .

We give few examples how the method can be used for determining the type of the smoothness of certain Orlicz spaces.

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奥利兹序列空间中的扰动法

摘要我们在 Orlicz 序列空间 \(\ell _{M}\)中发展了一种新的扰动方法，它的 Orlicz 函数 \(M\) 在零点满足 \(\Delta _{2}\)条件。这一结果使我们可以通过对定义函数 \(\sigma _{M}\) 的扰动，从下往上支持任何有界的下半连续函数。我们举几个例子来说明如何用这种方法来确定某些奥立兹空间的平稳性类型。

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

Set-Valued and Variational Analysis MATHEMATICS, APPLIED-

CiteScore

2.90

自引率

6.20%

发文量

审稿时长

>12 weeks

期刊介绍： The scope of the journal includes variational analysis and its applications to mathematics, economics, and engineering; set-valued analysis and generalized differential calculus; numerical and computational aspects of set-valued and variational analysis; variational and set-valued techniques in the presence of uncertainty; equilibrium problems; variational principles and calculus of variations; optimal control; viability theory; variational inequalities and variational convergence; fixed points of set-valued mappings; differential, integral, and operator inclusions; methods of variational and set-valued analysis in models of mechanics, systems control, economics, computer vision, finance, and applied sciences. High quality papers dealing with any other theoretical aspect of control and optimization are also considered for publication.