Generalized JS-Contractions in b-Metric Spaces with Application to Urysohn Integral Equations

Hemant Kumar Nashine () and Zoran Kadelburg ()
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Hemant Kumar Nashine: Vellore Institute of Technology, Department of Mathematics, School of Advanced Sciences
Zoran Kadelburg: University of Belgrade, Faculty of Mathematics

Chapter Chapter 16 in Advances in Metric Fixed Point Theory and Applications, 2021, pp 385-408 from Springer

Abstract: Abstract We introduce the notion of $$\alpha $$ α -G-JS-type contractions for two pairs of self-mappings in b-metric spaces. Coincidence points, common fixed points, their uniqueness, as well as periodic points are studied for these mappings under $$\alpha $$ α -compatible and relatively partially $$\alpha $$ α -weakly increasing conditions on $$\alpha $$ α -complete b-metric spaces. The results are verified through an example in order to check their effectiveness and applicability. We apply the results to obtain the existence of solutions for a system of Urysohn integral equations.

Keywords: b-metric space; F-contraction; $$\alpha $$ α -admissible mapping; Common fixed point; Urysohn integral equation (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-33-6647-3_16

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DOI: 10.1007/978-981-33-6647-3_16

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