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

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 applicat...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 3; pp. 2078 - 2093
Main Authors Hussain, Azhar, Yaqoob, Saman, Abdeljawad, Thabet, Rehman, Habib Ur
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
data dependence
dynamical system
functional equation
multivalued picard operator
z-contraction
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021127