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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 9 | Number 1 | Year 2014 | Article Id. IJMTT-V9P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V9P510

Some Fixed Point Results in Dislocated Quasi-Metric Space


A.K.Dubey , Reena Shukla , R.P. Dubey
Abstract

In this paper, we prove some fixed point theorems for different contraction mappings in dislocated quasi-metric space. The results presented in this paper extend and improve several well-known results in the literature.

Keywords
Dislocated quasi-metric, fixed point
References

1. B.E. Rhoades, A comparison of various definition of contractive mapping, Trans. Amer.soc. 226(1977), 257-290.
2. B.K.Dass. S, Gupta, An extension of Banach contraction principle through rational expression, India J. pure appl. Math, 6 (1975) 1455-1458.
3. C.T. Aage, J.N. Salunke, The Results on Fixed Points in Dislocated and Dislocated Quasi-Metric Space, Applied Mathematical Sciences, Vol.2, (2008),no.59,2941-2948.
4. F.M.Zeyada, G.H. Hassan, 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, Vol.31, Number 1A,(2005),111-114.
5. Lj.B.Ciric, A generalization of Banach’s contraction principle, Proceeding of the American Mathematical Society, vol 45, No.2 (Aug .1974).
6. P. Hitzler, A.K. Seda, Dislocated Topologies, Journal of Electrical Engineering, Vol.51 No. 12/5, 2000, 3-7.
7. R.Kannan, some results on fixed points, Bull.Calcutta Math.Soc.,60,pp 71-76(1968). 

Citation :

A.K.Dubey , Reena Shukla , R.P. Dubey, "Some Fixed Point Results in Dislocated Quasi-Metric Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 9, no. 1, pp. 103-106, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V9P510

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