On generalized Suzuki-Proinov type (α, Z*E) −contractions in modular b−metric spaces

Büyükkaya A., Fulga A., Öztürk M.

Filomat, vol.37, no.4, pp.1207-1222, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 4
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2304207b
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.1207-1222
  • Keywords: Simulation function, Proinov type function, Modular b-metric space, Common fixed point, FIXED-POINT THEOREMS, SIMULATION FUNCTIONS, MAPPINGS
  • Karadeniz Technical University Affiliated: Yes

Abstract

© 2023, University of Nis. All rights reserved.This paper’s objective is to put forward a new kind of E−type contraction, which includes rational expression, by considering Proinov type functions and CG−simulation functions. This type of contraction is termed as a Suzuki-Proinov type generalized(α, Z*E) − contraction mapping. Further, some common fixed point theorems using these new mappings, which are triangular α−admissible pairs, are demonstrated in the setting of modular b−metric space. Besides, the given example indicates the applicability and validity of the outcomes of this study.