Refinement on fixed point results in metric and b-metric spaces-Reference-Cited by-同舟云学术

Refinement on fixed point results in metric and b-metric spaces

Published:2023 Issue:22 Volume:37 Page:7581-7588
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ansari Komachali Arslan¹,Gaba Yaé²,Aphane Maggie¹,Yildirim Isa³

Affiliation:

1. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria, Medunsa, South Africa

2. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria, Medunsa, South Africa + Quantum Leap Africa (QLA), AIMS Rwanda Centre, Remera Sector, Kigali, Rwanda + African Center for Advanced Studies (ACAS), Yaoundé, Cameroon

3. Department of Mathematics, Faculty of Science, Atatürk University, Erzurum, Turkey

Abstract

In this manuscript, we introduce some conditions for a sequence to be Cauchy sequence and b-Cauchy sequence in metric spaces and b-metric spaces. After, some fixed point results are obtained regarding them in such spaces. Also, we give two examples to show the usability of our results.

Publisher

National Library of Serbia

Reference22 articles.

1. S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math. 3 (1922), 133-181.

2. S. M. Abusalim and M. S. M. Noorani, Fixed Point and Common Fixed Point Theorems on Ordered Cone b-Metric Spaces, Abstract and Appl. Anal. Volume 2013, Article ID 815289,7pages.

3. H. Aydi, M.F. Bota, E. Karapinar and S. Mitrovic, A fixed point theorem for set-valued quasicontractions in b-metric spaces, Fixed Point Theory Appl., (2012), 2012:88.

4. AH Ansari, H Aydi, S Kumari, I Yildirim, New Fixed Point Results via C-class Functions in b-Rectangular Metric Spaces, Communications in Mathematics and Applications, Vol. 9, No. 2, pp. 109-126, 2018.

5. H. Huang, G. Deng, S. Radenovic, Some topological properties and fixed point results in cone metric spaces over Banach algebras, Positivity, https://doi.org/10.1007/s11117-018-0590-5.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. RESULTS IN b-METRIC SPACES ENDOWED WITH THE GRAPH AND APPLICATION TO DIFFERENTIAL EQUATIONS;J APPL MATH INFORM;2023