Some New Observations on Generalized Contractive Mappings and Related Results in b-Metric-Like Spaces(Article)(Open Access)
- aFaculty of Technology Novi Sad, University of Novi Sad, Bulevar Cara Lazara 1, Novi Sad, 21000, Serbia
- bInstitute of Research and Development of Porocesses, University of the Basque Country, Leioa, Biscay, Spain
- cTeacher Education Faculty, University in Pristina-Kosovska Mitrovica, Leposavi, Serbia
- dFaculty of Mechanical Engineering, University of Belgrade, Beograd, Serbia
Abstract
In this paper, we consider, discuss, complement, improve, generalize, and enrich some fixed point results obtained for β-ψ1-ψ2-contractive conditions in ordered b-metric-like spaces. By using our new approach for the proof that one Picard's sequence is bbl-Cauchy in the context of b-metric-like spaces, we get much shorter proofs than the ones mentioned in the recent papers. Also, by the use of our method, we complement and enrich some common fixed point results for βq,φs,ψ-contraction mappings. Our approach in this paper generalizes and modifies several comparable results in the existing literature. © 2021 Tatjana Došenović et al.
- ISSN: 23144629
- Source Type: Journal
- Original language: English
- DOI: 10.1155/2021/6634822
- Document Type: Article
- Publisher: Hindawi Limited
De La Sen, M.; Institute of Research and Development of Porocesses, University of the Basque Country, Leioa, Biscay, Spain;
© Copyright 2021 Elsevier B.V., All rights reserved.
Cited by 2 documents
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