Almost contraction mappings in cone b-metric spaces over banach algebras

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Develi F., Özavşar M.

Hacettepe Journal of Mathematics and Statistics, cilt.49, sa.6, ss.1965-1973, 2020 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.15672/hujms.486939
  • Dergi Adı: Hacettepe Journal of Mathematics and Statistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1965-1973
  • Anahtar Kelimeler: cone b-metric spaces over Banach algebras, spectral radius, common fixed point, FIXED-POINT THEOREMS
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

We introduce the condition of being Cauchy for a sequence in cone b-metric spaces (cbms) over Banach algebras. Based on this result, we extend almost mappings in cone metric spaces over Banach algebras to cbms over Banach algebras and prove the related fixed point theorem. In addition, we apply our results to some applications to illustrate their usability.