The Kannan fixed point theorem in incomplete modular spaces

Abstract

In this paper, we prove a fixed point theorem for Kannan contraction mappings definded on incomplete orthogonal modular spaces. Our results improve one of the results given by Abdou and Khamsi [Abdou, A. A. N. and Khamsi, M. A., (2020), Fixed points of Kannan maps in the variable exponent sequence spaces `p(.), Mathematics., 8(1), p. 76].