Fixed point results for Suzuki-type Σ-contractions via simulation functions in modular b-metric spaces

Öztürk M., Büyükkaya A.

Mathematical Methods in the Applied Sciences, vol.45, no.18, pp.12167-12183, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Abstract
  • Volume: 45 Issue: 18
  • Publication Date: 2022
  • Doi Number: 10.1002/mma.7634
  • Journal Name: Mathematical Methods in the Applied Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.12167-12183
  • Keywords: common fixed point, modular b-metric space, simulation function, Suzuki-type contraction, THEOREMS
  • Karadeniz Technical University Affiliated: Yes

Abstract

© 2021 John Wiley & Sons, Ltd.This study aims to introduce Suzuki-type Σ-contraction mappings with simulation functions in the framework of modular b-metric spaces. Some coincidence and common fixed point results are obtained for four mappings with the weak compatibility property. Outcomes are the extensions and improvements of the existing literature. Finally, we also present two applications on graph theory and homotopy theory, which show the applicability and validity of our results.