A Fixed Point Theorem in the Lebesgue Spaces of Variable Integrability Lp(<middle dot>)

被引：3

作者：

El Amri, Amnay ^{[1
]}

Khamsi, Mohamed Amine ^{[2
]}

Mendez, Osvaldo D. ^{[3
]}

机构：

[1] Hassan II Univ, Fac Sci Ben Msik LAMS, Casablanca 20023, Morocco

[2] Khalifa Univ, Dept Math, POB 127788, Abu Dhabi, U Arab Emirates

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

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 11期

关键词：

electrorheological fluid; fixed point; modular vector space; Nakano; strictly convex; uniformly convex;

D O I：

10.3390/sym15111999

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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

引用

页数：15

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