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Some New Observations on Generalized Contractive Mappings and Related Results in b-Metric-Like Spaces
- Source :
- Journal of Mathematics, Vol 2021 (2021)
- Publication Year :
- 2021
- Publisher :
- Hindawi, 2021.
-
Abstract
- In this paper, we consider, discuss, complement, improve, generalize, and enrich some fixed point results obtained forβ−ψ1−ψ2−contractive conditions in ordered b-metric-like spaces. By using our new approach for the proof that one Picard’s sequence isbbl−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 forβq,ϕs,ψ−contraction mappings. Our approach in this paper generalizes and modifies several comparable results in the existing literature.
- Subjects :
- Sequence
Pure mathematics
Article Subject
General Mathematics
010102 general mathematics
Cauchy distribution
Context (language use)
Fixed point
Mathematical proof
01 natural sciences
010101 applied mathematics
Metric (mathematics)
QA1-939
0101 mathematics
Contraction (operator theory)
Mathematics
Complement (set theory)
Subjects
Details
- Language :
- English
- ISSN :
- 23144629
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....30c49219f29025aa1f1a98a62f7fbfb8
- Full Text :
- https://doi.org/10.1155/2021/6634822