Nadler mappings in cone b-metric spaces over Banach algebras
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, vol.141, pp.185-194, 2019 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 141
- Publication Date: 2019
- Doi Number: 10.4171/rsmup/21
- Journal Name: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.185-194
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: Yes
Abstract
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.