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Multivalued weakly Picard operators via simulation functions with application to functional equations
Journal article   Open access  Peer reviewed

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

Azhar Hussain, Saman Yaqoob, Thabet Abdeljawad, Habib Ur Rehman and Department of Mathematics, University of Sargodha, Sargodha-40100, Pakistan
AIMS mathematics, Vol.6(3), pp.2078-2093
01/01/2021
DOI: https://doi.org/10.3934/math.2021127

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
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https://doi.org/10.3934/math.2021127View
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