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Karpatsʹkì Matematičnì Publìkacìï
Article . 2021 . Peer-reviewed
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Karpatsʹkì Matematičnì Publìkacìï
Article
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zbMATH Open
Article . 2021
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Fixed point theorems for rational type $F$-contraction

Fixed point theorems for rational type \(F\)-contraction
Authors: Ö. Acar;

Fixed point theorems for rational type $F$-contraction

Abstract

In this paper, we consider rational type $F$-contraction for multivalued integral type mapping on a complete metric space. Using Wardowski’s technique, we establish the existence of a fixed point of the multivalued integral type mapping, if this mapping or the $F$-contraction is continuous. In the end, we give an example which shows that our result is the best.

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Keywords

\(F\)-contraction of rational type, $f$-contraction of rational type, Fixed-point theorems, fixed point, Fixed-point and coincidence theorems (topological aspects), complete metric space, multivalued mapping, QA1-939, 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!
1
Average
Average
Average
gold