Full Paper View Go Back
Common Fixed Point of Coincidently Commuting Mappings in 2 Non-Archimedean Menger PM-Space
Jaya Kushwah1
Section:Research Paper, Product Type: Isroset-Journal
Vol.3 ,
Issue.5 , pp.1-2, May-2017
Online published on May 30, 2017
Copyright © Jaya Kushwah . 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.
View this paper at Google Scholar | DPI Digital Library
How to Cite this Paper
- IEEE Citation
- MLA Citation
- APA Citation
- BibTex Citation
- RIS Citation
IEEE Style Citation: Jaya Kushwah, “Common Fixed Point of Coincidently Commuting Mappings in 2 Non-Archimedean Menger PM-Space,” International Journal of Scientific Research in Multidisciplinary Studies , Vol.3, Issue.5, pp.1-2, 2017.
MLA Style Citation: Jaya Kushwah "Common Fixed Point of Coincidently Commuting Mappings in 2 Non-Archimedean Menger PM-Space." International Journal of Scientific Research in Multidisciplinary Studies 3.5 (2017): 1-2.
APA Style Citation: Jaya Kushwah, (2017). Common Fixed Point of Coincidently Commuting Mappings in 2 Non-Archimedean Menger PM-Space. International Journal of Scientific Research in Multidisciplinary Studies , 3(5), 1-2.
BibTex Style Citation:
@article{Kushwah_2017,
author = {Jaya Kushwah},
title = {Common Fixed Point of Coincidently Commuting Mappings in 2 Non-Archimedean Menger PM-Space},
journal = {International Journal of Scientific Research in Multidisciplinary Studies },
issue_date = {5 2017},
volume = {3},
Issue = {5},
month = {5},
year = {2017},
issn = {2347-2693},
pages = {1-2},
url = {https://www.isroset.org/journal/IJSRMS/full_paper_view.php?paper_id=411},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMS/full_paper_view.php?paper_id=411
TI - Common Fixed Point of Coincidently Commuting Mappings in 2 Non-Archimedean Menger PM-Space
T2 - International Journal of Scientific Research in Multidisciplinary Studies
AU - Jaya Kushwah
PY - 2017
DA - 2017/05/30
PB - IJCSE, Indore, INDIA
SP - 1-2
IS - 5
VL - 3
SN - 2347-2693
ER -
Abstract :
In the present paper, we prove a fixed point theorem for quasi-contraction pair of coincidentally commuting mappings in a 2 non-Archimedean Menger PM-space sings idea of Achari [1] and Chamola et.al.[2].
Key-Words / Index Term :
2 Non-Archimedean Menger probabilistic metric space, Common fixed points, Compatible maps, coincidentally commuting maps, quasi-contraction pairs.
References :
[1] J. Achari, “ Fixed point theorems for a class of mappings on non-archimedean probabilistic metric space, Mathematics, Vol.25, Issue.6, pp.5-9, 1983.
[2] KP.Chamola, Dimri R.G., Pant B.D., “Onnon linearcontrac-tions on Menger spaces”, Ganita, Vol.39, Issue.2, pp.49-50, 1988.
[3] Cho Y.J., Ha K.S., Chang S.S., “Common fixed point theorems for compatible mappings of type (A) in non-Archimedean Menger PM-spaces”, Math. Japonica, Vol.48, Issue.1, pp.169-179, 1997.
[4] Istrătescu V.I., “Fixed point theorems for some classes of contraction mappings on nonarchimedean probabilistic metric space”, Publ. Math. (Debrecen), Vol.25, Isssue.1-2, pp.29-34, 1978.
[5] Istrătescu V.I., Crivat N., “On some classes of nonarchimedean Menger spaces, Seminar de spatii Metriceprobabiliste”, Univ. Timisoara Nr., Vol.1, Issue.2, pp.9-16, 1974.
[6] Jungck G., “Compatible mappings and common fixed points”, Int. J. Math. and Math. Sci., Vol.9, Issue.4, pp.771-779, 1986.
[7] Jungck G., Rhoades B.E., “Fixed points for set valued functions without continuity”, Indian J. Pure Appl. Math., Vol.29, Issue.1, pp.227-238, 1998.
[8] Menger K., “Statistical metrics”, Proc. Nat. Acad. Sci., USA., pp.535 -537, 1942.
[9] Mishra S.N., “Common fixed points of compatible mappings in PM-spaces”, Math. Japon., Vol.36, Issue.2, pp.283-289, 1991.
[10] Sehgal VM., Bharucha-Reid A.T., “Fixed points of contractionmappings on probabilistic matric spaces”, Math. Systems Theory, Vol.6, Issue.1, pp.97-102, 1972.
[11] Sessa S., “On a weak commutativity condition in fixed point considerations”, Publ. Inst. Math., Vol.32, Issue.46, pp.149-153, 1982.
[12] Sherwood Howard, "Complete probabilistic metric spaces", Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, Vol.20, Issue.2, pp.117-128, 1971.
[13] Singh S.L., “A note on recent fixed point theorems for commuting mappings”, Vijnana Parishad Anusandhan Patrika, Vol.26, Issue.4, pp.259-261, 1983.
[14] Singh, S.L., Pant B.D., Common fixed point theorems in probabilisticmetric spaces and extension to uniform spaces, Honam Math. J., 6(1984),1-12.
[15] Singh S.L., Pant B.D., “Common fixed points of weakly commutingmappings on non-archimedean Menger spaces”, Vikram Math. J., Vol.6, Issue.2, pp.27- 31, 1986.
[16] Tiwari B.M.L., Pant, B.D., “Fixed points of a pair of mappings onprobabilistic metric spaces”, Jnanabha, Vol.13, Issue.1, pp.13-25, 1983.
You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at support@isroset.org or view contact page for more details.