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Some Common Fixed Point Theorems in Complex Valued Intuitionistic Fuzzy Metric Spaces

M. Jeyaraman1 , V.B. Shakila2

Section:Research Paper, Product Type: Journal-Paper
Vol.9 , Issue.1 , pp.24-31, Feb-2022


Online published on Feb 28, 2022


Copyright © M. Jeyaraman, V.B. Shakila . 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: M. Jeyaraman, V.B. Shakila, “Some Common Fixed Point Theorems in Complex Valued Intuitionistic Fuzzy Metric Spaces,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.9, Issue.1, pp.24-31, 2022.

MLA Style Citation: M. Jeyaraman, V.B. Shakila "Some Common Fixed Point Theorems in Complex Valued Intuitionistic Fuzzy Metric Spaces." International Journal of Scientific Research in Mathematical and Statistical Sciences 9.1 (2022): 24-31.

APA Style Citation: M. Jeyaraman, V.B. Shakila, (2022). Some Common Fixed Point Theorems in Complex Valued Intuitionistic Fuzzy Metric Spaces. International Journal of Scientific Research in Mathematical and Statistical Sciences, 9(1), 24-31.

BibTex Style Citation:
@article{Jeyaraman_2022,
author = {M. Jeyaraman, V.B. Shakila},
title = {Some Common Fixed Point Theorems in Complex Valued Intuitionistic Fuzzy Metric Spaces},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2022},
volume = {9},
Issue = {1},
month = {2},
year = {2022},
issn = {2347-2693},
pages = {24-31},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2718},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2718
TI - Some Common Fixed Point Theorems in Complex Valued Intuitionistic Fuzzy Metric Spaces
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - M. Jeyaraman, V.B. Shakila
PY - 2022
DA - 2022/02/28
PB - IJCSE, Indore, INDIA
SP - 24-31
IS - 1
VL - 9
SN - 2347-2693
ER -

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Abstract :
In this paper, we aim to prove some common fixed point theorems for contraction condition and pairs of occasionally weakly compatible mappings satisfying some conditions in complex valued intuitionistic fuzzy metric spaces.

Key-Words / Index Term :
Common fixed point, Occasionally weakly compatible mappings, Complex valued, Continuous t-norm, Intuitionistic fuzzy set

References :
[1] K. Atanassov, “ Intuitionistic Fuzzy Sets,” Fuzzy sets and systems, 20, pp. 87 – 96, 1986.
[2] A. Azam, B. Fisher and M. Khan, “Common fixed point theorems in complex valued metric space,” Numerical Functional Analysis and Optimization 32, pp. 243 – 253, 2011.
[3] J. J. Buckley, “Fuzzy complex numbers,” Fuzzy Sets and Systems, 33,pp. 333 – 345, 1989.
[4] A. George and P. Veeramani, “On some results in fuzzy metric spaces,” Fuzzy sets and systems, 64, pp. 395 – 399, 1994.
[5] G. Jungck, “Compatible mappings and common fixed points,” Internat. Math. J. Maths. Sci., 9, pp. 771 – 779, 1986.
[6] I. Kramosil and J. Michalek, “Fuzzy metric and statistical spaces,” Kybernetica, 11, pp. 336 – 344, 1975.
[7] J. H. Park, “Intuitionstic fuzzy metric spaces,” Chaos, Solitons Fractals, 22, pp.1039 – 1046, 2004.
[8] D. Ramot, R. Milo, M. Friedman, and A. Kandel, “Complex fuzzy sets,” IEEE Transactions of Fuzzy System, 10, 2002.
[9] R. Saadati, J. H. Park, “On the intuitionstic fuzzy topological spaces,” Chaos Solitons Fractals, 27, pp. 331 – 344.
[10] D. Singh, V. Joshi, M. Imdad, P. Kumar, “A novel framework of complex valued fuzzy metric spaces fixed point theorems,” Journal of Intelligent and Fuzzy systems, 30(6), pp. 3227 – 3238, 2016.
[11] Uday Dolas, “A common fixed point theorem in fuzzy metric spaces using common E.A. Like property,” Journal of Applied Mathematics and computation, 2(6), pp. 245 – 250, 2018.
[12] L. A. Zadeh, “Fuzzy sets,” Inform. and Control, 8, pp. 338 – 353, 1965.

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