Remark on a Fixed-Point Theorem in the Lebesgue Spaces of Variable Integrability LP(.)

被引：0

作者：

Khamsi, Mohamed A. ^{[1
]}

Mendez, Osvaldo D. ^{[2
]}

机构：

[1] Khalifa Univ, Dept Appl Math & Sci, Abu Dhabi 127788, U Arab Emirates

[2] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA

来源：

MATHEMATICS | 2023年 / 11卷 / 01期

基金：

以色列科学基金会;

关键词：

electrorheological fluid; fixed point; modular strict convexity; modular vector space; modular uniform convexity; Nakano modular;

D O I：

10.3390/math11010157

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a personal communication, Prof. Dom & iacute;nguez Benavides noted that a fixed-point theorem for modular nonexpansive mappings in Lp(('))(omega) obtained under the assumptions p+ < infinity and the property (R) satisfied by rho will force p- > 1. Therefore, the conclusion is well known. In this note, we establish said conclusion without the assumption p+ < infinity.

引用

页数：6

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