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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 6, Pages 806–814 DOI: https://doi.org/10.17516/1997-1397-2022-15-6-806-814
(Mi jsfu1050)
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New fixed point results on $\alpha _{L}^{\psi }$-rational contraction mappings in $b$-metric-like spaces
Souheib Merada, Faycel Merghadia, Taieb Hamaiziab, Stojan Radenovićc a Laboratory of Mathematics, Informatics and Systems Larbi Tebessi University, Tebessa, Algeria
b Laboratory of Dynamical Systems and Control, Department of Mathematics and Informatics Larbi Ben M’Hidi University, Oum el Bouaghi, Algeria
c Faculty of Mechanical Engineering University of Belgrade, Belgrad, Serbia
DOI:
https://doi.org/10.17516/1997-1397-2022-15-6-806-814
Abstract:
The purpose of this paper is to prove some new results for $\alpha _{L}^{\psi }$-rational contractive and cyclic $\alpha _{L}^{\psi }$-rational contractive mappings defined in $d$-complete $b$-metric-like spaces. Moreover, an example is presented to illustrate the validity of our theoretical results.
Keywords:
metric like-space, $b$-metric like-space, cyclic contractions.
Received: 01.05.2022 Received in revised form: 11.07.2022 Accepted: 20.10.2022
Citation:
Souheib Merad, Faycel Merghadi, Taieb Hamaizia, Stojan Radenović, “New fixed point results on $\alpha _{L}^{\psi }$-rational contraction mappings in $b$-metric-like spaces”, J. Sib. Fed. Univ. Math. Phys., 15:6 (2022), 806–814
Linking options:
https://www.mathnet.ru/eng/jsfu1050 https://www.mathnet.ru/eng/jsfu/v15/i6/p806
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