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

Ege M., ALACA C.

Azerbaijan Journal of Mathematics, cilt.8, sa.1, ss.3-14, 2018 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 1
  • Basım Tarihi: 2018
  • Dergi Adı: Azerbaijan Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.3-14
  • Anahtar Kelimeler: Contraction principle, Fixed point, Modular b-metric space
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.