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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 5 | Year 2018 | Article Id. IJMTT-V55P547 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P547

Fixed Point Theorem in Dislocated Quasi Metric Space


Rinku Verma
Abstract

In this paper I, have proved fixed point theorem for continuous contraction mappings in dislocated quasi-metric space.

Keywords
dislocated quasi metric space, fixed point..
References

[1] C. T. Aage and J. N. Salunke, The results on fixed points in dislocated and dislocated quasi metric space, Applied Mathematical Sciences, 2 (59), 2008, 2941-2948.
[2] B. K. Dass and S. Gupta, An extension of Banach contraction principle through rational expression, Indian J. Pure Appl. Math., 6,1975,1455-1458.
[3] P. Hitzler and A. K. Seda, Dislocated Topologies, Journal of Electrical Engineering, 51(12), 2000, 3-7.
[4] B. E. Rhoades, A comparision of various definitions of contractive mappings, Trans. Amer. Soc., 226, 1977, 257-290.
[5] F. M. Zeyada, G. H. Hassan and M. A.Ahmed, A generalization of a fixed point theorem due to Hitzler and Seda in dislocated quasi metric spaces, The Arabian Journal for Science and Engineering, 31, 2005, 111-114.

Citation :

Rinku Verma, "Fixed Point Theorem in Dislocated Quasi Metric Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 5, pp. 364-366, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P547

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