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.
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页数：6
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