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Some Common Fixed Point Theorems in 2-Metric Spaces for Contractive Type Conditions

Tarun Gain1 , Kalishankar Tiwary2

Section:Research Paper, Product Type: Journal-Paper
Vol.6 , Issue.4 , pp.58-61, Aug-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i4.5861


Online published on Aug 31, 2019


Copyright © Tarun Gain, Kalishankar Tiwary . 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: Tarun Gain, Kalishankar Tiwary, “Some Common Fixed Point Theorems in 2-Metric Spaces for Contractive Type Conditions,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.4, pp.58-61, 2019.

MLA Style Citation: Tarun Gain, Kalishankar Tiwary "Some Common Fixed Point Theorems in 2-Metric Spaces for Contractive Type Conditions." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.4 (2019): 58-61.

APA Style Citation: Tarun Gain, Kalishankar Tiwary, (2019). Some Common Fixed Point Theorems in 2-Metric Spaces for Contractive Type Conditions. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(4), 58-61.

BibTex Style Citation:
@article{Gain_2019,
author = {Tarun Gain, Kalishankar Tiwary},
title = {Some Common Fixed Point Theorems in 2-Metric Spaces for Contractive Type Conditions},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2019},
volume = {6},
Issue = {4},
month = {8},
year = {2019},
issn = {2347-2693},
pages = {58-61},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1430},
doi = {https://doi.org/10.26438/ijcse/v6i4.5861}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i4.5861}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1430
TI - Some Common Fixed Point Theorems in 2-Metric Spaces for Contractive Type Conditions
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Tarun Gain, Kalishankar Tiwary
PY - 2019
DA - 2019/08/31
PB - IJCSE, Indore, INDIA
SP - 58-61
IS - 4
VL - 6
SN - 2347-2693
ER -

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Abstract :
Our aim of this paper is to find some common fixed point theorems in 2-metric spaces by using Nesic type contractive condition, which are generalizations of various known results.

Key-Words / Index Term :
Fixed point, 2-metric space,Contraction, Nesic type

References :
[1]. M. E. Abd EL-Monsef A. Donia, H. M. & AbdRabou, Kh, “New types of common fixed Point theorems 2- Metric spaces”, Chaos, Soliton and Fractals, 41, 1435-1441, 2009.
[2]. S. Gahler, “2-metrische Raume und iher topologische structur”, Math.Nachr, 26, 115-148, 1963.
[3]. K. Iseki, P. L. Sharma, B.K. Sharma, “Contraction type mapping on 2-metric Space”, Math.Japonica, 21, 67- 70, 1976.
[4]. M. Imdad,M. S. Kumar and M. D. Khan, “A Common fixed point theorem in 2-Metric Spaces”, Math., Japonica, 1991, 36(5), 907-914. Int J Anal Appl., 1(2):127-132, 2013.
[5]. S. N. Lal & A. K. Singh, “An analogue of Banach`s Contraction principle for 2-metric space”, Bull. Austral. Math. Soc. Vol. 18, pp. 137-143, 1978.
[6].D. Lateef, “Fixed point theorems in 2-metric space for some contrative conditions”, IJSIMR, Volume 6, Issue 1, PP 16-20, 2018.
[7]. S. C. Nesic, “A theorem on contractive mapping”, Mat. Vesnik , 51-54, 1992.
[8]. S. V. R. Naidu and J. R. Prasad, “Fixed point theorems in 2-metric spaces”, Indian J. Pure. Appl. Math, 17(8) 97-993, 1986.
[9]. L. S. Singh and S. Singh, “Some fixed point theorems in 2-metric space”, International transactions in Mathematical Sciences and Computer. Vol-3 No. 1 , H. pp.121-129, 2010.

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