Alolaiyan, HananAli, BasitAbbas, Mujahid2020-07-112020-07-112019Alolaiyan, H., Ali, B. & Abbas, M. 2019, 'Characterization of a b-metric space completeness via the existence of a fixed point of Ciric-Suzuki type quasi-contractive multivalued operators and applications', Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, vol. 27, no. 1, pp. 5-33.1224-1784 (print)1844-0835 (online)10.2478/auom-2019-0001http://hdl.handle.net/2263/75148The aim of this paper is to introduce Ciric-Suzuki type quasi-contractive multivalued operators and to obtain the existence of fixed points of such mappings in the framework of b-metric spaces. Some examples are presented to support the results proved herein. We establish a characterization of strong b-metric and b-metric spaces completeness. An asymptotic estimate of a Hausdorff distance between the fixed point sets of two Ciric-Suzuki type quasi-contractive multivalued operators is obtained. As an application of our results, existence and uniqueness of multivalued fractals in the framework of b-metric spaces is proved.enOvidius University, ConstantaMultivalued mappingFixed pointStabilityMultivalued fractalsb-Metric spacesArticle