Complex valued rectangular b-metric spaces and an application to linear equations

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EGE Ö.

Journal of Nonlinear Science and Applications, cilt.8, sa.6, ss.1014-1021, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 6
  • Basım Tarihi: 2015
  • Doi Numarası: 10.22436/jnsa.008.06.12
  • Dergi Adı: Journal of Nonlinear Science and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1014-1021
  • Anahtar Kelimeler: Banach contraction principle, Fixed point, Rectangular b-metric space
  • Manisa Celal Bayar Üniversitesi Adresli: Hayır

Özet

In this paper, we introduce complex valued rectangular b-metric spaces. We prove an analogue of Banach contraction principle. We also prove a different contraction principle with a new condition and a fixed point theorem in this space. Finally, we give an application of Banach contraction principle to linear equations.