Fixed point results for Perov type F-contractions and an application

Altun I., OLGUN M.

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, vol.22, no.2, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.1007/s11784-020-00779-4
  • Journal Name: JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Keywords: Fixed point, vector-valued metric, eigenvalues, eigenvectors, F -contraction, METRIC-SPACES
  • Ankara University Affiliated: Yes

Abstract

In the present paper, we introduce the concept of F-contraction on vector-valued metric space. Then, we achieved a fixed point result that includes the famous Perov fixed point theorem as properly. We provided a nontrivial and illustrative example showing this fact. Finally, we give an existence result for semilinear operator system in a Banach space.