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Mathematical Methods in the Applied Sciences
Article . 2021 . Peer-reviewed
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Article . 2022
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https://doi.org/10.22541/au.16...
Article . 2020 . Peer-reviewed
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Fixed point results for Suzuki‐type Σ‐contractions via simulation functions in modular b‐metric spaces

Fixed point results for Suzuki-type \(\Sigma\)-contractions via simulation functions in modular \(b\)-metric spaces
Authors: Mahpeyker ÖZTÜRK; Abdurrahman Buyukkaya;

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

Abstract

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.

Keywords

simulation function, modular \(b\)-metric space, Suzuki-type contraction, Fixed-point and coincidence theorems (topological aspects), common fixed point, Special maps on metric spaces

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Average
Average
bronze