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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 47 | Number 2 | Year 2017 | Article Id. IJMTT-V47P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P513

Common Fixed Point Theorem in G-Metric Spaces


Antima Sindersiya, Aklesh Pariya, Nirmala Gupta, V. H. Badshah
Abstract

In this paper, we prove some common fixed point theorems for pair of compatible mappings in G-metric spaces.

Keywords
Common fixed point, compatible mapping, 𝐺 -metric spaces.
References

[1] G. Jungck, Compatible mappings and common fixed points, Internat. J. Math. And Math Sci., 9(1986), 771-779.
[2] M. Abbas and B. E. Rhoades, Common fixed point results for non-commuting mappings without continuity in generalized metric spaces, Appl. Math. and Computation 215, (2009), 262–269.
[3] R. Saadati, S.M. Vaezpour, P. Vetro and B.E. Rhoades, Fixed point theorems in generalized partially ordered G-metric spaces, Mathematical and Computer Modelling 52 (5–6), (2010), 797–801.
[4] S. Manro, S. Kumar and S. S. Bhatiya, Weakly compatible maps of type (A) in 𝐺-metric spaces, Demonstr. Math 45(4) (2012), 901-908.
[5] Z. Mustafa and B. Sims, Some remarks concerning D-metric spaces, Proc. Int. Conf. on Fixed Point Theory Appl., Valencia (Spain), July (2004), 189-198.
[6] Z. Mustafa and B. Sims, A new approach to generalized metric spaces, J. of Nonlinear and Convex Analysis 7 (2), (2006), 289–297.
[7] Z. Mustafa and B. Sims, Fixed point theorems for contractive mapping in complete G-metric spaces, Fixed Point Theory Appl. 2009, Article ID 917175, 10 pages.
[8] Z. Mustafa, H. Obiedat and F. Awawdeh, Some fixed point theorem for mapping on complete G-metric spaces, Fixed Point Theory Appl. 2008, Article ID 189870, 12 pages.
[9] Z. Mustafa, W. Shatanawi and M. Bataineh, Existance of fixed point results in G-metric spaces, Inter. J. Mathematics and Math. Sciences, 2009, Article ID 283028, 10 pages.

Citation :

Antima Sindersiya, Aklesh Pariya, Nirmala Gupta, V. H. Badshah, "Common Fixed Point Theorem in G-Metric Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 2, pp. 101-104, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P513

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