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AIMS Mathematics
Article . 2020 . Peer-reviewed
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AIMS Mathematics
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Article . 2021
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Multivalued weakly Picard operators via simulation functions with application to functional equations

Authors: Azhar Hussain; Saman Yaqoob; Thabet Abdeljawad; Habib Ur Rehman;

Multivalued weakly Picard operators via simulation functions with application to functional equations

Abstract

<abstract> <p>The aim of this paper is to introduce the notion of Suzuki type multivalued contraction with simulation functions and then to set up some new fixed point and data dependence results for these type of contraction mappings. We produce an example to support our results. Moreover, we present an application to functional equation arising in dynamical system.</p> </abstract>

Keywords

z-contraction, \(\mathcal{Z}\)-contraction, Fixed-point and coincidence theorems (topological aspects), multivalued picard operator, data dependence, dynamical system, Fixed-point theorems, multivalued Picard operator, QA1-939, Complete metric spaces, functional equation, Special maps on metric spaces, Mathematics, Set-valued maps in general topology

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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!
3
Average
Average
Average
gold