Nadler mappings in cone -metric spaces over Banach algebras

  • Muttalip Özavşar

    Yildiz Technical University, Istanbul, Turkey
Nadler mappings in cone $b$-metric spaces over Banach algebras cover

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Abstract

In this study we first define the concept of Nadler type contraction in the setting of -cone -metric space with respect to cone -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.

Cite this article

Muttalip Özavşar, Nadler mappings in cone -metric spaces over Banach algebras. Rend. Sem. Mat. Univ. Padova 141 (2019), pp. 185–194

DOI 10.4171/RSMUP/21