Remark on a Fixed-Point Theorem in the Lebesgue Spaces of Variable Integrability L p (·)

Mohamed A. Khamsi () and Osvaldo D. Méndez
Additional contact information
Mohamed A. Khamsi: Department of Applied Mathematics and Sciences, Khalifa University, Abu Dhabi 127788, United Arab Emirates
Osvaldo D. Méndez: Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX 79968, USA

Mathematics, 2022, vol. 11, issue 1, 1-6

Abstract: In a personal communication, Prof. Domínguez Benavides noted that a fixed-point theorem for modular nonexpansive mappings in L p ( · ) ( Ω ) obtained under the assumptions p + < ∞ and the property ( R ) satisfied by ρ will force p − > 1 . Therefore, the conclusion is well known. In this note, we establish said conclusion without the assumption p + < ∞ .

Keywords: electrorheological fluid; fixed point; modular strict convexity; modular vector space; modular uniform convexity; Nakano modular (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/1/157/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/1/157/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2022:i:1:p:157-:d:1018237

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().