Relative Strength of Common Fixed Point Results for Two Self Mapping in Fuzzy Metric Space

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Abstract

The concept of fuzzy metric space, which was introduced by Kramosil and Michalek (1975), is used in this article. In this manuscript, we present and generalize some common fixed point theorems in fuzzy metric spaces, which is an extension of the well-known results given by shen, Y. et al. (2012) in the sense of Schweizer and Sklar(1983).

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How to Cite
Tiwari, S. K., & Agrawal, R. (2025). Relative Strength of Common Fixed Point Results for Two Self Mapping in Fuzzy Metric Space. Mikailalsys Journal of Mathematics and Statistics, 3(1), 81-91. https://doi.org/10.58578/mjms.v3i1.4510

References

Ahmad M.A. (2014). fixed point theorems in fuzzy metric space, Journal of Egyption Mathematical Society, 22, 59-62. https://doi.org/10.1016/j.joems.2013.05.001

Chang C.L. (1968). Fuzzy topological spaces, J. Math. Anal. Appl., 24, 182-190.

Chen, W. (2012). Fixed Point Theorems in fuzzy metric spaces, Applied Mathematics Letters, 25, 138-141. https://doi.org/10.1016/j.aml.2011.08.002

Cho Y.J., Sedghi S. and Shobe N. (2009). Generalized fixed point theorems for compatible mappings with some types in fuzzy metric spaces, Chaus solitons and fractals, 39, 2233-2244. https://doi.org/10.1016/j.chaos.2007.06.108

Das, N. R. and Saha, M.L. (n.d). On Fixed Points in Fuzzy Metric Spaces, Annal. of fuzzy Mathematics and Informatics, 7(2), 313-318. http://www.kyungmoon.com.

Dinarvand, M. (2017). Some fixed point results for admissible Graghty contraction type mapping in fuzzy metric Spaces, Iranian Journal of Fuzzy systems,14(3), 161-177. 10.22111/IJFS.2017.3262

Deng, Z. (1982). Fuzzy Pseudo-Metric Spaces, J. Math. Analysis. Appl. 86, 74-95.

Dey, D. Saha, M. (2014). An extenstion of Banach Fixed Point Theorem in Fuzzy Metric Space, Bio-Soc. Paran Math. 32(1), 299-304. DOI: 10.5269/bspm.v32i1.17260

Dosenovic, T., Rakic, D. and Brdar, M. (n.d). Fixed Point Theorem in Fuzzy Metric space using alterning distance, Filoment 28(7), 1517-1524. DOI: 10.2298/FIL1407517D

Ereeg, M.A. (n.d). Metric space in fuzzy set theory, J. Math. Anal. Appl. 69, 205-230. https://doi.org/10.1016/0022-247X(79)90189-6.

Eidi J.H., Fadhel,F. S. and Kadhm A.E. (2022). Fixed Point theorem in fuzzy metric spaces. Inf. J. of Math. and Compu. Sci., 17(3), 1287-1298.

Fadhel F. S. (n.d). about fuzzy fixed point theorem, Ph.d. thesis, Department of mathematics and computer applications, College of Science, AL-Nahrain Uni.

Fadhel, F.S. and Majeed R.N. (2012). Fixed point theorem on (F,ρ) fuzzy metric space, AL-Nahrian Journal of Science, 15(1), 127-132.

George, P. and Veeramani. (1994). On some results in fuzzy metric spaces, Fuzzy Sets and Systems, 64, 395–399. doi.org/10.1016/0165-0114 (94)90162-7.

Grabiec, M. (1988). Fixed point in fuzzy metric spaces, Fuzzy Sets and Systems, 27, 385–389. http://dx.doi.org/10.1016/0165-0114(88)90064-4.

Haung H., Caric, B. Dosenovic T. Rakic D. and Bardar M. (20121). Fixed Point theorems in fuzzy metric space via Fuzzy F-contraction MPDI, 9(6),(2021), 1-10. https://doi.org/10.3390/math9060641.

Hadzˇic´O. and Pape. Fixed point theorem for multi-valued mappings in probabilistic Metric spaces and an applications in fuzzy metric spaces, Fuzzy Sets and Systems, 127 (2002), 333–344. https://doi.org/10.1016/j.jmaa.2005.03.087.

Jaggi, D.S., (1977). Some unique Fixed Point Theorems, Indian Journal of Pure and Applied Mathematics, 8(2), , 223-230.

Gupta, V. and Sainik R.K. Mani N. and Tripathi, A.K. (2015), Fixed Point Theorems using control function in fuzzy metric spaces, Cognet Mathematics 2, (2015), 1-7.

Gupta V., Mani N., Sharma R. and Tripathi A.K. (2022). Some fixed point results and their applications on integral type contractive condition in fuzzy metric spaces, Bol. Soc. Paran mat. (3s)v, 1-9. DOI: 10.5269/bspm.v36i3.30467

Kiani, F. and Haradi, A.A., Fixed point and endpoint theorems for set-valued fuzzy contraction mapps in fuzzy metric spaces, Fixed Point Theory Appl., 2011 (2011), 9 pages.

Kramosil, J. Micha´lek, Fuzzy metric and statistical metric spaces, Kybernetika, 11,(1975),

–344.

Kaleva, O. and Seikkala, S., On Fuzzy metric spaces, Fuzzy sets and Systems 12, (1984), 215-229.

Karayilan, H. and Telcil,M. Caristi type fixed point theorems in fuzzy metric space, Hacettepe Journal of Mathematics and statistics, 48(1),(2019), 7-86. DOI : 10.15672/HJMS.2017.515.

Kaleva, O. On Fuzzy metric spaces, J. Math. Anal. Appl. 109, (1985), 194-198. https://doi.org/10.1155/2022/2714912.

Manadhar,K.B., Jha, K. and Pathak, H. K.(2014), A. common fixed point Theorem for Compatible mappings of Type (E) in fuzzy metric space, Appl. Math. Sci., 8, 2007.

Manadhar K.B.and Jha, K.Some fixed point results in fuzzy metric space, Kathmandu university journal of science Engineering and Technology11(II), (2015), 48-67.

Patel, R.M. and Bhardwaj R. Some common fixed point Theorems for compatible mapping in fuzzy metric spaces for integral type mapping, Mathematical Theory and Modelling, 3(2013), (6).

Patir B. Goswami N. and Mishra L.N., Fixed poont theorems in fuzz metric spaces for mapping with some contractive type condition, Korean Journal Math. 26(2),(2018), 307-326. DOI: https://doi.org/10.11568/kjm.2018.26.2.307

Sadeghi,Z, Vaezpour, S.M. Park,C., Saadati, R. and Vetro, C., Set-valued mappings in Partially ordered fuzzy metric spaces, J. Inequal. Appl., 2014 (2014), 17 pages. http://www.journalofinequalitiesandapplications.com/content/2014/1/157.

Schweizer B. and Sklar A. Probabilistic metric spaces, North –Holland series in Probability and applied Mathematics North –Holland Publishing CO. New Yark, ISBN:0-444-00666-4MR0790314(86G:54045), (1983).

Singh, M.R. and Singh Y.M. (2007). Compatible mappings of type (E) and Common fixed Point Theorems of Meir-Keelar Type, Int. J. Math. Sci. and Engg. Appl. 1, (2007) 299.

Sukla S. and Abbas M., Fixed point results in Fuzzy metric Like Spaces, Iranian Journal of

Fuzzy Systems, 11(5), 81-92. 10.22111/IJFS.2014.1724.

Subrahmanyam, P.V. (1995). A Common fixed point theorem in fuzzy metric space, 83, 109-112. https://doi.org/10.1016/0020-0255 (94) 00043-B.

Schweizer, A. and Sklar, Statical metric spaces, Pac. J. Math., 10 (1960), 313–334. http://dx.doi.org/10.2140/pjm.1960.10.313.

Schweizer, B. and Sklar A. (1960). Statistical metric space, Pacific Journal of Mathematics.10, 313-334.

Upadhay A. and Choudhary, B.S., (2002). Some fixed point results in Fuzzy metric Spaces, Applied Sci. Periodical, IV (2), 101-104.

Wairojjasna N., Dosenovic,T. ,Rakic,D. ,Gopal D. and Kumam P. (2015). An altering distance function in fuzzy metric space Theorems, Fixed point theory and applications

Zadeh, L. A. Fuzzy sets, Information and Control, 8 (1965), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X.


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