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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.
 

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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 -

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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.

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