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Common Fixed Point Theorems in Complex Valued b- Metric Spaces
Neelu Rajput1 , Naval Singh2
Section:Research Paper, Product Type: Isroset-Journal
Vol.6 ,
Issue.2 , pp.258-261, Apr-2019
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v6i2.258261
Online published on Apr 30, 2019
Copyright © Neelu Rajput, Naval Singh . 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: Neelu Rajput, Naval Singh, “Common Fixed Point Theorems in Complex Valued b- Metric Spaces,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.258-261, 2019.
MLA Style Citation: Neelu Rajput, Naval Singh "Common Fixed Point Theorems in Complex Valued b- Metric Spaces." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.2 (2019): 258-261.
APA Style Citation: Neelu Rajput, Naval Singh, (2019). Common Fixed Point Theorems in Complex Valued b- Metric Spaces. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(2), 258-261.
BibTex Style Citation:
@article{Rajput_2019,
author = {Neelu Rajput, Naval Singh},
title = {Common Fixed Point Theorems in Complex Valued b- Metric Spaces},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {4 2019},
volume = {6},
Issue = {2},
month = {4},
year = {2019},
issn = {2347-2693},
pages = {258-261},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1242},
doi = {https://doi.org/10.26438/ijcse/v6i2.258261}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i2.258261}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1242
TI - Common Fixed Point Theorems in Complex Valued b- Metric Spaces
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Neelu Rajput, Naval Singh
PY - 2019
DA - 2019/04/30
PB - IJCSE, Indore, INDIA
SP - 258-261
IS - 2
VL - 6
SN - 2347-2693
ER -
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Abstract :
Many authors prove several fixed point results for mappings satisfying certain contraction conditions. b- metric spaces in fixed point has attracted much attention in recent times. In this paper, we prove the existence and uniqueness of fixed point for two self mappings satisfying rational expressions in Complex Valued b –metric spaces. These theorems generalize many previously obtained fixed point results. An example is given to illustrate the main result.
Key-Words / Index Term :
Fixed point theorem, Complex valued metric spaces,𝑏− metric spaces
References :
[1] A zam A.,Fisher B.and Khan M.,“ Common fixed point theorems in complex valued metric spaces”. Numer. Funct. Anal. Optim. 32(3), 243-253 (2011)
[2] Bakhtin I.A.“ The contraction principle in quasi metric paces”,Functional analysis,vol.30,pp. 26-37 ,1989.
[3] Banach S.“ Sur les operations dans les ensembles abstraits ef leur application aux equations integrals”, Fundamenta mathematicae,vol. 3 ,pp. 133-181,1922.
[4] Mukheimer A.A.,“Some common fixed point theorems in complex valued b- metric spaces ,”The scientific world journel ,vol, 2014 ,article ID 587825,6 pages ,2014.
[5] Rao K.,Swamy and Prasad J. ,“A common fixed point theorem in complex valued b-metric spaces,”Bulletin of Mathematics and statistics Research ,vol. 1 ,no. 1.2013
Author Profile: Neelu Rajput is a PhD scholar in pure Mathematics. Her research interests are in the areas of Functional analysis and complex analysis. She has published research papers in reputed international journals of mathematics and also presented papers in international conferences.
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