
doi: 10.3934/math.2021127
<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>
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
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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