Nadler mappings in cone b-metric spaces over Banach algebras


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Özavşar M.

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, cilt.141, ss.185-194, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 141
  • Basım Tarihi: 2019
  • Doi Numarası: 10.4171/rsmup/21
  • Dergi Adı: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA
  • Sayfa Sayıları: ss.185-194

Özet

In this study we first define the concept of Nadler type contraction in the setting of H-cone b-metric space with respect to cone b-metric spaces over Banach algebras. Next we prove the Banach contraction principle for such contractions by means of the notion of spectral radius and a solid cone in underlying Banach algebra. Finally we observe that the main result achieved in this work extends and generalizes the well known results associated with contractions of Nadler type.