Some results for modular b-metric spaces and an application to system of linear equations

Ege M., ALACA C.

Azerbaijan Journal of Mathematics, vol.8, no.1, pp.3-14, 2018 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 1
  • Publication Date: 2018
  • Journal Name: Azerbaijan Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.3-14
  • Keywords: Contraction principle, Fixed point, Modular b-metric space
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, we define the modular b-metric space with some new notions and prove Banach fixed point theorem and its two generalizations for the new space. At the end of the paper, we give an application of Banach contraction principle to a system of linear equations.