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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 5 | Year 2020 | Article Id. IJMTT-V66I5P526 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I5P526

A Fixed Point Theorem on b-Metric Space


Swati Agrawal, Pannalal Sanodia
Abstract

The intend of this paper to obtain different concepts of contractive mapping stay alive on b-metric space. On b-metric space establish the completeness and also verify that mapping has unique of fixed point.

Keywords
Unique fixed point, Convergence, b-Metric space.
References

[1] Bakhtin, I.A., The contraction mapping principle in almost metric spaces, Funct. Anal., 30, Unianowsk, Gos. Ped. Inst., (1989), 26- 37.
[2] Banach, S., Surles operations dans les ensembles abstract et leur application aux equation integrals, Fund. Math.
[3] Boriceanu, M., Fixed point theory for multivalued generalized contraction on a set with two b-metric, studia, univ Babes, Bolya: Math, Liv(3) (2009), 1-14.
[4] Czerwik, S., Contraction mappings in b-metric spaces, Acta Mathematica et Informatica Universitatis Ostraviensis 1 (1993), 5-11.
[5] Czerwik, S., Non-linear set valued contraction mappings in b-metric spaces. Atti sem math fiq Univ. Modena, 46(2), (1998), 263- 276.
[6] Kir, Mehmet, Kiziltune, Hukmi, on some well known fixed point theorems in B-metric space, Turkish journal of analysis and number theory, 2013, vol.1, no.1, 13-16.
[7] Pacurar, M., Sequences of almost contractions and fixed points in b-metric spaces, Analele Universităţ de Vest, Timisoara, Seria Matematică Informatică XLVIII (2010), no. 3, 125-137.
[8] Rathore, M.S., Singh, N. and Rathore, S.: Common ixed points of four mappings of a fuzzy metric space, Varahmihir Journal of Matheatical Sciences,(2001 ),227-233

Citation :

Swati Agrawal, Pannalal Sanodia, "A Fixed Point Theorem on b-Metric Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 5, pp. 192-194, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I5P526

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