Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 180
Kannan fixed point theorem in the variable exponent sequence spaces lp(.) with a graph
Kenza Benkirane, Abderrahim Eladraoui, Samia Bennani
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 24, 2022
March 03, 2164
April 15, 2164

Abstract: The variable exponent sequence spaces lp(.) find their roots in the celebrated work by Orlicz. They inspired the formal definition of a modular introduced by Nakano [2]. This vector space is a special case of the variable exponent spaces Lp(.). Toward the second half of the twentieth century, it was realized that these variable exponent spaces constituted the right framework for the mathematical formulation of a number of problemsfor which the classical Lebesgue spaces were inadequate. We open, this communication, by presenting some definitions and basic facts about the space lp(.). ...