Some Outcomes on Fuzzy Menger Space via Common Property (E.A) and Absorbing Maps
DOI:
https://doi.org/10.26713/cma.v15i2.2149Keywords:
Absorbing maps, Common property (E.A), Occasionally weakly compatible mappings, Fuzzy Menger spaceAbstract
The present idea of this paper is to generalize the result proved by Sing et al. (Fixed point results in Fuzzy Menger space, Journal of Applied Mathematics and Bioinformatics 5 (2015), 67 – 75) obtaining two results in fuzzy Menger space by employing absorbing maps, common property (E.A) and occasionally weakly compatible mappings. Moreover, these results are justified by suitable examples.
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A. P. Chouhan and A. S. Ranadive, Absorbing maps and common fixed point theorem in Menger space, Advances in Fixed Point Theory 2 (2012), 108 – 119, URL: https://scik.org/index.php/afpt/article/view/253.
I. Kramosil and J. Michálek, Fuzzy metrics and statistical metric spaces, Kybernetika 11(5) (1975), 336 – 344, URL: https://eudml.org/doc/28711.
S. Kumar and B. Fisher, A common fixed point theorem in fuzzy metric space using property (E.A.) and implicit relation, Thai Journal of Mathematics 8(3) (2012), 439 – 446, URL: https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/212.
S. N. Mishra, Common fixed points of compatible mappings in PM-spaces, Mathematica Japonica 36 (1991), 283 – 289.
S. N. Mishra, N. Sharma and S. L. Singh, Common fixed points of maps on fuzzy metric spaces, International Journal of Mathematics and Mathematical Sciences 17 (1994), 915450, 6 pages, DOI: 10.1155/S0161171294000372.
B. V. Reddy and V. Srinivas, Fixed Point theorem for pair of weakly compatible mappings using CLRT property, International Journal of Mathematics and its Applications 6 (2018), 1156 – 1163.
B. Schweizer, A. Sklar and E. O. Thorp, The metrization of statistical metric spaces, Pacific Journal of Mathematics 10 (1960), 673 – 675, DOI: 10.2140/pjm.1960.10.673.
S. Sharma and P. K. Sharma, On common α-fixed point theorems, Journal of Mathematical and Computational Science 11(1) (2021), 87 – 108, DOI: 10.28919/jmcs/5064.
R. Shrivastav, V. Patel and V. B. Dhagat, Fixed point result in fuzzy Menger space with EA property, International Journal of Contemporary Mathematical Sciences 8(2) (2013), 53 – 60, DOI: 10.12988/ijcms.2013.13005.
Y. R. Singh and L. P. Devi, Some fixed point theorems of semi compatible and occasionally weakly compatible mappings in Menger space, American Journal of Applied Mathematics and Statistics 3(1) (2015), 29 – 33, DOI: 10.12691/ajams-3-1-6.
R. Singh, A. D. Singh and V. B. Dhagat, Fixed point results in Fuzzy Menger space, Journal of Applied Mathematics & Bioinformatics 5(1) (2015), 67 – 75, https://www.scienpress.com/Upload/JAMB/Vol%205_1_6.pdf.
L. A. Zadeh, Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems: Selected Papers by Lotfi A. Zadeh, G. J. Klir and B. Yuan (editors), Advances in Fuzzy Systems — Applications and Theory, Vol. 6, 840 pages (1996), DOI: 10.1142/2895.
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