@article{e087c21766784dc1b9782a27e20e7417,
title = "Modular Geometric Properties in Variable Exponent Spaces",
abstract = "Much has been written on variable exponent spaces in recent years. Most of the literature deals with the normed space structure of such spaces. However, because of the variability of the exponent, the underlying modular structure of these spaces is radically different from that induced by the norm. In this article, we focus our attention on the progress made toward the study of the modular structure of the sequence Lebesgue spaces of variable exponents. In particular, we present a survey of the state of the art regarding modular geometric properties in variable exponent spaces.",
keywords = "electrorheological fluid, fixed point, modular vector space, Nakano modular, strictly convex, uniformly convex modular",
author = "Khamsi, {Mohamed A.} and M{\'e}ndez, {Osvaldo D.} and Simeon Reich",
note = "Funding Information: Mohamed A. Khamsi was funded by Khalifa University, UAE, under grant No. 8474000357. The author, therefore, gratefully acknowledges with thanks Khalifa University{\textquoteright}s technical and financial support. Simeon Reich was partially supported by the Israel Science Foundation (Grant 820/17), by the Fund for the Promotion of Research at the Technion and by the Technion General Research Fund. All the authors are grateful to the editors and the referees for their useful comments and suggestions. Publisher Copyright: {\textcopyright} 2022 by the authors.",
year = "2022",
month = jul,
doi = "10.3390/math10142509",
language = "British English",
volume = "10",
journal = "Mathematics",
issn = "2227-7390",
publisher = "MDPI AG",
number = "14",
}