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A Fixed Point Theorem for a Contractive Mapping in Dislocated Quasi Metric Space

V.H. Badshah1 , V.P. Bairagi2 , A. Pariya3

Section:Research Paper, Product Type: Isroset-Journal
Vol.4 , Issue.2 , pp.14-17, Apr-2017


Online published on Apr 30, 2017


Copyright © V.H. Badshah, V.P. Bairagi, A. Pariya . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: V.H. Badshah, V.P. Bairagi, A. Pariya, “A Fixed Point Theorem for a Contractive Mapping in Dislocated Quasi Metric Space,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.4, Issue.2, pp.14-17, 2017.

MLA Style Citation: V.H. Badshah, V.P. Bairagi, A. Pariya "A Fixed Point Theorem for a Contractive Mapping in Dislocated Quasi Metric Space." International Journal of Scientific Research in Mathematical and Statistical Sciences 4.2 (2017): 14-17.

APA Style Citation: V.H. Badshah, V.P. Bairagi, A. Pariya, (2017). A Fixed Point Theorem for a Contractive Mapping in Dislocated Quasi Metric Space. International Journal of Scientific Research in Mathematical and Statistical Sciences, 4(2), 14-17.

BibTex Style Citation:
@article{Badshah_2017,
author = {V.H. Badshah, V.P. Bairagi, A. Pariya},
title = {A Fixed Point Theorem for a Contractive Mapping in Dislocated Quasi Metric Space},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {4 2017},
volume = {4},
Issue = {2},
month = {4},
year = {2017},
issn = {2347-2693},
pages = {14-17},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=361},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=361
TI - A Fixed Point Theorem for a Contractive Mapping in Dislocated Quasi Metric Space
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - V.H. Badshah, V.P. Bairagi, A. Pariya
PY - 2017
DA - 2017/04/30
PB - IJCSE, Indore, INDIA
SP - 14-17
IS - 2
VL - 4
SN - 2347-2693
ER -

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Abstract :
Aage and Salunke [1] proved the result on fixed point theorem in Dislocated and Dislocated Quasi Metric space. Dass and Gupta [2] have given an extentionsion of Banach Contraction Principal through rational expression. In this paper we establish a common fixed point theorem for continuous contractive mapping in Dislocated Quasi metric space which is the generalized result of Isufati. A [4], Mujeeb Ur Rahman and Muhammad Sarwar [11].

Key-Words / Index Term :
Dislocated Quasi metric space, common fixed point, continuous contractive mapping

References :
[1] C.T. Aage, J.N. Salunke, “The Results on Fixed Point Theoremin Dislocated6 and Quasi-Metric Spaces”, Applied Mathematical Science, Vol.2, Issue.59 , pp.2941-2948, 2008.
[2] B. K. Dass and S. Gupta, “An extension of Banach contraction principle through rational expressions”, Indian Journal of Pure and Applied Mathematics, vol. 6, Issue.12, pp. 1455–1458, 1975.
[3] P. Hitzler, A.K. Seda, “Dislocated Topologies”, Journal of Electrical Engineering, Vol.51, Issue.12, pp.3-7, 2000.
[4] A. Isufati, “Fixed Point Theorem in Dislocated Quasi-Metric Space”, Applied Mathematical Sciences, Vol.4, Issue.5, pp.217-223, 2010.
[5] M. Kohli, R. Sriravastava, M. Sharma, “ Some Results on Fixed Point Theorem in Dislocated Quasi Metric Space”, International Journal of Theoritical&AppliedSciences,Vol.2, Issue.1, pp.27-28, 2010.
[6] S.S. Pagey, R. Nighojkar, “A Fixed Point Theorem For Expansive Type Mapping in Dislocated Quasi Metric Space ”, International Journal of Theoretical & Applied Sciences,Vol.3, Issue.1, pp.26-27, 2011.
[7] B.E. Rhoades, “A Comparison of Various Definition of Contractive Mapping”, Transactions of the American Mathematical Society, Vol.226, Issuee.1, pp.257-290, 1977.
[8]R. Shrivastava, R. Gupta, “A Fixed Point Theorem for Random Operator in Dislocated Quasi Metric Spaces ”, International Journal of Theoretical &Applied Sciences,Vol.3, Issue., pp.47-48 , 2011.
[9]R. Shrivastava, K. Qureshi, K. Rathore, “A Common Fixed Point Theorem For a Pair of Mapping in Dislocated Metric Space”, Advances in Applied Science Research, Vol.5, Issue.3, pp.417-419, 2014.
[10] 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 Engineering., Vol.31, Issue.1, pp.111-114, 2006.
[11]M.U. Rahman, M. Sarwar, “Fixed Point Results in Dislocated Quasi Metric Spaces”, International Mathematical Forum , Vol.9, Issue.14, pp.677-682, 2014.

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