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Fixed point results for Suzuki Type Σ-contractions via simulation functions in modular b-metric spaces
  • Mahpeyker ÖZTÜRK,
  • Abdurrahman Buyukkaya
Mahpeyker ÖZTÜRK
Sakarya University

Corresponding Author:mahpeykero@sakarya.edu.tr

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Abdurrahman Buyukkaya
Karadeniz Technical University
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Abstract

This study aims to introduce Suzuki type Σcontraction mappings with simulation functions in the frame of modular b-metric spaces. Also, some coincidence and common fixed point results are obtained for four mappings using the weakly compatibility property that these results are the extensions and improvements of the existing literature. Finally, we also present two applications on graph theory and homotopy theory, which show applicability and validity of our results.

Peer review status:Published

26 Nov 2020Submitted to Mathematical Methods in the Applied Sciences
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26 Nov 2020Submission Checks Completed
26 Nov 2020Assigned to Editor
09 Dec 2020Reviewer(s) Assigned
17 Jan 2021Review(s) Completed, Editorial Evaluation Pending
19 Jan 2021Editorial Decision: Revise Major
23 Apr 20211st Revision Received
24 Apr 2021Submission Checks Completed
24 Apr 2021Assigned to Editor
04 May 2021Reviewer(s) Assigned
22 May 2021Review(s) Completed, Editorial Evaluation Pending
26 May 2021Editorial Decision: Accept
Dec 2022Published in Mathematical Methods in the Applied Sciences volume 45 issue 18 on pages 12167-12183. 10.1002/mma.7634