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

Altun I., OLGUN M.

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, cilt.22, sa.2, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s11784-020-00779-4
  • Dergi Adı: JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: Fixed point, vector-valued metric, eigenvalues, eigenvectors, F -contraction, METRIC-SPACES
  • Ankara Üniversitesi Adresli: Evet

Özet

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.