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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2022 Volume 15, Issue 6, Pages 806–814 (Mi jsfu1050)

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

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.

UDC: 517.4

Received: 01.05.2022
Received in revised form: 11.07.2022
Accepted: 20.10.2022

Language: English

DOI: 10.17516/1997-1397-2022-15-6-806-814



© Steklov Math. Inst. of RAS, 2024