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Boletim da Sociedade Paranaense de Matemática
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Article . 2021
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Simulations functions and Geraghty type results

Authors: Sumit Chandok; Ankush Chanda; Lakshmi Kanta Dey; Mirjana Pavlovic; Stojan Radenovic;

Simulations functions and Geraghty type results

Abstract

We concern this manuscript with Geraghty type contraction mappings via simulation functions and pull down some sufficient conditions for the existence and uniqueness of point of coincidence for several classes of mappings involving Geraghty functions in the setting of metric spaces. These findings touch up many of the existing results in the literature. Additionally, we elicit one of our main result by a non-trivial example and pose an interesting open problem for the enthusiastic readers.

Country
Serbia
Keywords

simulation function, Fixed-point and coincidence theorems (topological aspects), Geraghty type contraction mappings, common fixed point, compatible mappings, compatible mapping, Geraghty-type contraction mapping, point of coincidence, simulation function., QA1-939, Special maps on metric spaces, Mathematics

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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!
10
Top 10%
Average
Top 10%
Green
gold