Research Article

A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces

Volume: 1 Number: 1 September 15, 2018
EN

A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces

Abstract

The aim of this short survey is to collect and combine basic notions and results in the fixed point theory in the context of $b$-metric spaces. It is also aimed to show that there are still enough rooms for several researchers in this interesting direction and a huge application potential.

Keywords

References

  1. [1] H. Afshari, H. Aydi, E.Karapinar, Existence of Fixed Points of Set-Valued Mappings in b-Metric Spaces, East Asian mathematical journal , volume 32, issue 3, 2016, Pages 319 332,
  2. [2] H. Afshari, H. Aydi and E. Karapinar, On generalized alpha-phi-geraghty contractions on b-metricspaces, Georgian Math. Journal,
  3. [3] R. P. Agarwal, H. Alsulami, E.Karapınar and F.Khojasteh, Remarks on some recent fixed point results in quaternion-valued metric spaces, Abstract and Applied Analysis, (2014) Article Id: 171624
  4. [4] U.Aksoy, E. Karapinar and I. M. Erhan, Fixed points of generalized alpha-admissible contractions on b-metric spaces with an application to boundary value problems,Journal of Nonlinear and Convex Analysis, (2016). Volume 17,Number 6, 1095-1108
  5. [5] Ali and Kamran, On alpha*-phi-contractive multi-valued mappings, Fixed Point Theory and Appl. 2013 2013:137.
  6. [6] M. U. Ali, T. Kamran, E. Karapinar, On (alpha-phi-xi)-contractive multi-valued mappings, Fixed Point Theory Appl., 2014, 2014:7
  7. [7] H. Alsulami, S.Gulyaz, E. Karapinar, I. Erhan, An Ulam stability result on quasi-b-metric-like spaces, Open Mathematics, Volume 14, Issue 1 (Jan 2016) DOI 10.1515/math-2016-0097,
  8. [8] H. Alsulami, S. Almezel, E. Karapinar, F. Khojasteh, A note on fixed point results in complex valued metric spaces, Journal of Inequalities and Applications, 2015, 2015:33

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

September 15, 2018

Submission Date

August 13, 2018

Acceptance Date

August 19, 2018

Published in Issue

Year 2018 Volume: 1 Number: 1

APA
Karapınar, E. (2018). A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces. Constructive Mathematical Analysis, 1(1), 15-44. https://doi.org/10.33205/cma.453034
AMA
1.Karapınar E. A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces. CMA. 2018;1(1):15-44. doi:10.33205/cma.453034
Chicago
Karapınar, Erdal. 2018. “A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces”. Constructive Mathematical Analysis 1 (1): 15-44. https://doi.org/10.33205/cma.453034.
EndNote
Karapınar E (September 1, 2018) A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces. Constructive Mathematical Analysis 1 1 15–44.
IEEE
[1]E. Karapınar, “A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces”, CMA, vol. 1, no. 1, pp. 15–44, Sept. 2018, doi: 10.33205/cma.453034.
ISNAD
Karapınar, Erdal. “A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces”. Constructive Mathematical Analysis 1/1 (September 1, 2018): 15-44. https://doi.org/10.33205/cma.453034.
JAMA
1.Karapınar E. A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces. CMA. 2018;1:15–44.
MLA
Karapınar, Erdal. “A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces”. Constructive Mathematical Analysis, vol. 1, no. 1, Sept. 2018, pp. 15-44, doi:10.33205/cma.453034.
Vancouver
1.Erdal Karapınar. A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces. CMA. 2018 Sep. 1;1(1):15-44. doi:10.33205/cma.453034

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