Abstract:
This paper is the first to introduce a fixed point problem of integral type in a b-metric space. We study sufficient conditions for the existence and uniqueness of a common fixed point of a contractive mapping of integral type. We also give two examples to support our results.
Keywords:
common fixed point, contractive mapping of integral type,
b-metric.
Funding agency
Grant number
Department of Education of Liaoning Province
JYTMS20231700
This work was financially supported by the Science and Research Project
Foundation of Liaoning Province Education Department (no. JYTMS20231700).
Citation:
Jinze Gou, Hongyan Guan, “Common Fixed Point Theorems for Contractive Mappings of Integral Type in b-Metric Spaces”, Math. Notes, 115:4 (2024), 538–554
\Bibitem{GouGua24}
\by Jinze Gou, Hongyan Guan
\paper Common Fixed Point Theorems for Contractive Mappings of Integral Type in $b$-Metric Spaces
\jour Math. Notes
\yr 2024
\vol 115
\issue 4
\pages 538--554
\mathnet{http://mi.mathnet.ru/mzm14330}
\crossref{https://doi.org/10.1134/S0001434624030258}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4772169}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85197554210}
Citation in format AMSBIB
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