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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 23 | Number 1 | Year 2015 | Article Id. IJMTT-V23P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V23P503

Dislocated Quasi-Metric Space and Some Common Fixed Point Theorems for contraction mapping


S. K. Tiwari, Shweta Agrawal
Abstract

the purpose of this paper is to establish some common fixed point theorems for contraction mappings. The results presented in the paper generalize and extend the result of Shailesh Patel and Mitesh Patel [8] and D.Panthi, K.Jha and G.Purru[10].

Keywords
Dislocated quasi –metric, fixed point, common fixed point
References

1. Banach,SSur les operations dans les ensembles abstraits et leur applications aux equations integrals, fundamental mathematicae,3(7), 133-18,.(1922).
2. C. T. Agne and J. N. Salunke, A Generalization of a fixed point theorem in dislocate quasi metric space. Vol. 9, No. 2, pp. 1-5.
3. C. T. Agne and J. N. Salunke, The Results of Fixed Points in Dislocated and Dislocated Quasi Metric Space, Applied Mathematics Sciences, 2(2008), 2941-2948.
4. Shailesh T. Patel and Mitesh Patel, Some results of Fixed Point Theorem in Dislocated Quasi Metric Spaces, Vol.1, Issue 2, ISSN:2320-6586(2013).
5. P. Hitzler, Generalized Metrics and Topology in Logical Programming Semantics, Ph.D. Thesis, National University of Ireland, (University College, Cork), 2001.
6. A. Isufati, Fixed Point theorem in Dislocated Quasi Metric Spaces, Applied Mathematics Sciences, 4(2010),217-223
7. A. Muraliraj et al., Generalization Fixed Point theorems in Dislocated Quasi Metric Spaces, Advance in Inequlities and Applications, ISSN 2050-7461, (2014),2014:17.
8. F. M. Zeyadha, 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, Vol. 31, pp. 111-114. ,(2005)
9. Jha, K. , Rao, K. P. R. And Panthi, D, A common fixed point theorem for four mappings in dislocated quasi – metric space, international journal of math. Sci. Engg. Appls.6(1), 417-424. (2012)
10. Panthi, D, Jha, K.and Porru, Gfixed point theorem in dislocated quasi – metric space ,American journal of mathematics and statistics,3(3), 153-156. .(2013),
11. Shrivastav, R. Ansari, Z.K., and Sharma, M.(2012), Some results on fixed points in dislocated and dislocated quasi metic spaces, j. Advance study in topology 3(1), 25-31, (2012),

Citation :

S. K. Tiwari, Shweta Agrawal, "Dislocated Quasi-Metric Space and Some Common Fixed Point Theorems for contraction mapping," International Journal of Mathematics Trends and Technology (IJMTT), vol. 23, no. 1, pp. 20-25, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V23P503

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