变可积性Lp(·)Lebesgue空间中的一个不动点定理

IF 2.2 3区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Symmetry-Basel Pub Date : 2023-10-30 DOI:10.3390/sym15111999

Amnay Amri, Mohamed Amine Khamsi, Osvaldo D. Méndez

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引用次数: 0

摘要

本文建立了变指数Lp(·)的Lebesgue空间的不动点性质，重点讨论了指数趋近于1的情形。该证明不附加任何条件。特别地，我们的研究集中于定义在Lp(·)的凸子集上的ρ-非扩张映射，它满足我们随后定义的“一致减小条件”。

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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A Fixed Point Theorem in the Lebesgue Spaces of Variable Integrability Lp(·)

We establish a fixed point property for the Lebesgue spaces with variable exponents Lp(·), focusing on the scenario where the exponent closely approaches 1. The proof does not impose any additional conditions. In particular, our investigation centers on ρ-non-expansive mappings defined on convex subsets of Lp(·), satisfying the “condition of uniform decrease” that we define subsequently.

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来源期刊

Symmetry-Basel MULTIDISCIPLINARY SCIENCES-

CiteScore

5.40

自引率

11.10%

发文量

2276

审稿时长

14.88 days

期刊介绍： Symmetry (ISSN 2073-8994), an international and interdisciplinary scientific journal, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided, so that results can be reproduced.