Some fixed point results on Nb -cone metric spaces over Banach algebra

Fernandez J., Malviya N., Mitrović Z. D., Hussain A., Parvaneh V.

Advances in Difference Equations, vol.2020, no.1, 2020 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 2020 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.1186/s13662-020-02991-5
  • Journal Name: Advances in Difference Equations
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Keywords: c-sequence, Coupled fixed points, Iterative algorithm, Nb-cone metric spaces over Banach algebra
  • Uşak University Affiliated: No

Abstract

The main aim of this paper is to introduce the concept of Nb-cone metric spaces over a Banach algebra as a generalization of N-cone metric spaces over a Banach algebra and b-metric spaces. Also, we study some coupled common fixed point theorems for generalized Lipschitz mappings in this framework. Finally, we give an example and an application to the existence of solutions of integral equations to illustrate the effectiveness of our generalizations. Some results in the literature are special cases of our results.