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Common Fixed Point Theorems in Multiplicative metric spaces using concept of CRC-self mappings

Sushma Devi1

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.414-418, Aug-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.414418


Online published on Aug 31, 2018


Copyright © Sushma Devi . 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: Sushma Devi, “Common Fixed Point Theorems in Multiplicative metric spaces using concept of CRC-self mappings,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.414-418, 2018.

MLA Style Citation: Sushma Devi "Common Fixed Point Theorems in Multiplicative metric spaces using concept of CRC-self mappings." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.4 (2018): 414-418.

APA Style Citation: Sushma Devi, (2018). Common Fixed Point Theorems in Multiplicative metric spaces using concept of CRC-self mappings. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(4), 414-418.

BibTex Style Citation:
@article{Devi_2018,
author = {Sushma Devi},
title = {Common Fixed Point Theorems in Multiplicative metric spaces using concept of CRC-self mappings},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2018},
volume = {5},
Issue = {4},
month = {8},
year = {2018},
issn = {2347-2693},
pages = {414-418},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=758},
doi = {https://doi.org/10.26438/ijcse/v5i4.414418}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i4.414418}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=758
TI - Common Fixed Point Theorems in Multiplicative metric spaces using concept of CRC-self mappings
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Sushma Devi
PY - 2018
DA - 2018/08/31
PB - IJCSE, Indore, INDIA
SP - 414-418
IS - 4
VL - 5
SN - 2347-2693
ER -

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Abstract :
In this paper, we prove common fixed point theorems using the idea of compatibility together with conditionally reciprocal continuity (CRC) in Multiplicative metric spaces.

Key-Words / Index Term :
Common fixed point, compatible, multiplicative metric space, self maps

References :
[1] A.E. Bashirov, E.M. Kurplnara, A. Ozyapici, Multiplicative calculus and its applications, J. Math. Anal. Appl., 337 (2008), 36-48. doi:0.1016/j.jmaa.2007.03.081
[2] Abbas M, Ali B, Suleiman YI. Common fixed points of locally contractive mappings in multiplicative metric spaces with application. Int. J. Math. Math. Sci. 2015;7. Article ID 18683.Available:http://dx.doi.org/10.1155/2015/ 218683
[3] Abdou AAN. Fixed point theorems for generalized contraction mappings in multiplicative metricspaces. J. Nonlinear Sci. Appl. 2016;9:2347-2363.
[4] Abodayeh K, Pitea A, Shatanawi W, Abdeljawad T. Remarks on multiplicative metric spaces andrelated fixed points. Arxiv: 1512.03771v1 [math.GN]; 2015.Available:http:// dx.doi.org/10.1186/1687-1812-2014-48
[5] Bashirov AE, Kurplnara EM, Ozyapici A. Multiplicative calculus and its applications, J. Math. Anal. Appl. 2008;337:36-48.
[6] Bashirov AE, Misirli E, Tandogdu Y, Ozyapici A. On modelling with multiplicative differential equations. Applied Mathematics-A Journal of Chinese Universities. 2011;26:425-438.
[7] F. Gu, L.M. Cui, Y.H. Wu, Some fixed point theorems for new contractive type mappings, J. Qiqihar Univ., 19 (2013), 85-89.
[8] He X, Song M, Chen D. Common fixed points for weak commutative mappings on a multiplicative metric space, Fixed Point Theory Appl. 2014;48:9.
[9] J.S.Kushwah, Weak compatible and reciprocally continuous maps in Non-Archimedean Menger PM-Space, IJSRMSS, Vol.3 (2),2016 p 9-12.
[10] Kang SM, Kumar P, Kumar S, Nagpal P, Garg SK. Common fixed points for compatible mappings and its variants in multiplicative metric spaces. Int. J. Pure Appl. Math. 2015;102:383-406. DOI: 10.12732/ijpam.v102i2.14
[11] Kang SM, Nagpal P, Garg SK, Kumar S. Fixed points for multiplicative expansive mappings in multiplicative metric spaces. International Journal of Mathematical Analysis. 2015;9(39):1939-1946.
[12] M. ¨Ozavsar, A.C. Cevikel, Fixed point of multiplicative contraction mappings on multiplicative metric space, arXiv:1205.5131v1 [matn.GM], 2012.
[13] M. Sarwar, R. Badshah-e, Some unique fixed point theorems in multiplicative metric space, arXiv:1410.3384v2 [math.GM], 2014 Available:http://dx.doi.org/10.12988/ijma. 2015.54130.
[14] Muhammad Sarwar. Badshah-e-Rome: Some unique fixed point theorems in multiplicative metric spaces, arXiv: 1410.3384v2 [math.GM];2014.
[15] Nagpal P, Kang SM, Garg SK, Kumar S. Several fixed point theorems for expansive mappings in multiplicative metric spaces. Int. J. Pure Appl. Math. 2016;107(2):357-369.Available: http://www.ijpam.euDOI: 10.12732/ Ijpam.V10 7i2.6
[16] Ozavsar M, Cervikel AC. Fixed points of multiplicative contraction mappings on multiplicative metric spaces. [math.GM]; 2012. Available: http://arxiv.org/abs/ 1205.5131v1
[17] Ravi P. Agarwal, Erdal Karapınar, Bessem Samet. An essential remark on fixed point results on multiplicative metric spaces. Fixed Point Theory and Applications. 2016;1(2016):1-3.
[18] S.M.King, P.Kumar, S.Kumar, P.Nagpal and S.Garg, Common fixed points for compatible mappings and its variants in multiplicative metric spaces, I. J of Pure and Applied mathematics, 102(2) 2015, 383-406.
[19] Sessa S. On a weak commutativity condition of mappings in fixed point considerations. InstitutMath´ematique. 1982;32:149–153.
[20] Sukh raj S., Manoj U., R.D.Daheriya, Rashmi J.and Suraj S., Coincidence point & common fixed points for multiplicative expansive type mappings, British journal of mathematics & computer science 19(3), 1-14, 2016.
[21] X. He, M. Song, D. Chen, Common fixed points for weak commutative mappings on a multiplicative metric space, Fixed Point Theory Appl., 48(2014), 9 pages. doi: 10.1186/1687-1812-2014-48.

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