The Results on Coincidence and Common Fixed Points for a New Type Multivalued Mappings in b -Metric Spaces

Nikola Savanović, Ivan D. Aranđelović and Zoran D. Mitrović
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Nikola Savanović: Faculty of Informatic and Computing, University Singidunum, Danijelova 32, 11000 Beograd, Serbia
Ivan D. Aranđelović: Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11000 Beograd, Serbia
Zoran D. Mitrović: Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina

Mathematics, 2022, vol. 10, issue 6, 1-10

Abstract: In this paper, we obtain the results of coincidence and common fixed points in b -metric spaces. We work with a new type of multivalued quasi-contractive mapping with nonlinear comparison functions. Our results generalize and improve several recent results. Additionally, we give an application of the obtained results to dynamical systems.

Keywords: coincidence fixed; common fixed point; nonlinear quasi-contractions; b -metric spaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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