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Some Fixed Point Theorems on Generalized Contractive mappings in cone metric space
R. Krishnakumar1 , R. Livingston2
Section:Research Paper, Product Type: Isroset-Journal
Vol.5 ,
Issue.4 , pp.289-293, Aug-2018
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v5i4.289293
Online published on Aug 31, 2018
Copyright © R. Krishnakumar, R. Livingston . 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: R. Krishnakumar, R. Livingston, “Some Fixed Point Theorems on Generalized Contractive mappings in cone metric space,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.289-293, 2018.
MLA Style Citation: R. Krishnakumar, R. Livingston "Some Fixed Point Theorems on Generalized Contractive mappings in cone metric space." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.4 (2018): 289-293.
APA Style Citation: R. Krishnakumar, R. Livingston, (2018). Some Fixed Point Theorems on Generalized Contractive mappings in cone metric space. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(4), 289-293.
BibTex Style Citation:
@article{Krishnakumar_2018,
author = { R. Krishnakumar, R. Livingston},
title = {Some Fixed Point Theorems on Generalized Contractive mappings in cone metric space},
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 = {289-293},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=739},
doi = {https://doi.org/10.26438/ijcse/v5i4.289293}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i4.289293}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=739
TI - Some Fixed Point Theorems on Generalized Contractive mappings in cone metric space
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - R. Krishnakumar, R. Livingston
PY - 2018
DA - 2018/08/31
PB - IJCSE, Indore, INDIA
SP - 289-293
IS - 4
VL - 5
SN - 2347-2693
ER -
Abstract :
The purpose of this paper is to obtain sufficient conditions for the existence of unique fixed point of generalized contractive type mappings on complete metric spaces.
Key-Words / Index Term :
fixed point, generalized contractive mapping, complete cone metric space, sequently convergent.
References :
[1] A. Beiranvand, S. Moradi, M. Omid and H. Pazandeh, Two fixed point theorem for special mapping, arXiv:0903.1504v1
[math FA].
[2] R. Krishnakumar , K. Dinesh , D. Dhamodharan, Some fixed point theoremsφ- ψ weak contraction on Fuzzy Metric
spaces, International Journal of Scientific Research in Mathematical and Statistical Sciences, Volume-5, Issue-3, pp.146-
152, June (2018)
[3] R. Kannan, Some results on fixed points, Bull. Calc. Math. Soc.60, (1968), 71 – 76.
[4] R. Krishnakumar, R. Livingston, “Study On Fixed Point Theorems in Complete Cone Metric Spaces” International
Journal of Innovative Research in Science, Engineering and Technology,Volume 6, Issue 7, July 2017, 13526 – 13531.
[5] H. Long – Guang and Z. Xian, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl.,
332, (2007), 1468 – 1476.
[6] K. P. R. Sastry, Ch. Srinivasarao, K. Sujatha, G. Praveena, Cone metric spaces and fixed point theorems of Generalized
Contractive mappings, International Journal of Computational Science and mathematics, Volume 3, Number 2 (2011), Pp.
133 – 139.
[7] S. Moradi, Kannan fixed point theorem on complete metric spaces and on generalized metric spaces depend on another
function, arXiv: 0903. 1577v [Math. FA].
[8] Sh. Rezapour and R. Hamlbarani, some notes on the paper “cone metric spaces and fixed point theorems of contractive
mappings”, J. Math. Anal. Appl., 345, (2), (2008), 719 – 724.
[9] Jose R. Morles and Edixon Rojas, Cone metric spaces and fixed point theorems of generalized contractive mappings Int.
Journal of Math. Analysis, Vol. 4, 2010, no. 4, 175 – 184.
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