A Note on Extended Z-Contraction

Alghamdi M. A., GÜLYAZ ÖZYURT S., Karapinar E.

MATHEMATICS, cilt.8, sa.2, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3390/math8020195
  • Dergi Adı: MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: Z-contraction, simulation functions, b-metric, METRIC SPACES, FIXED-POINTS, SIMULATION, MAPPINGS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this article, we aim to evaluate and merge the as-scattered-as-possible results in fixed point theory from a general framework. In particular, we considered a common fixed point theorem via extended Z-contraction with respect to psi-simulation function over an auxiliary function xi in the setting of b-metric space. We investigated both the existence and uniqueness of common fixed points of such mappings. We used an example to illustrate the main result observed. Our main results cover several existing results in the corresponding literature.