α-FUZZY FIXED POINTS OF HESITANT FUZZY MAPPING
Keywords:
Hesitant fuzzy mapping, Hesitant fuzzy set, Fixed pointAbstract
This paper aims to generalize some hesitant fuzzy fixed point theorems in literature. Here we obtain in the sense of Estruch and Vidal, α-fuzzy fixed point results of hesitant fuzzy maps
Downloads
References
S.Banach, Sur les operation dans les ensembles abstaits et leur application aux equations integrals, Fund. Math. 3(1922) 133-181.
Kannan, Some results on fixed points.Bull.Calcutta Math. Soc. 60 (1968) 71-76.
S.K. Chatterjea, Fixed-point theorems, C.R. Acad. Bulgare Sci. 25 (1972) 727-730.
T. Zamferiscu, Fix point theorems in metric spaces, Arch. Math. (Basel)23 (1972) 292-298.
S.B. Nadler, Multivalued contraction mapping, Pacific. J. Math. 30 (1969), 475–488.
L. A. Zadeh, Fuzzy Set, Information and Control, 8, p.338 (1965)
S. Heilpern, Fuzzy Mappings and Fixed Point Theorem, Journal of Mathematical Analysis and Applications 83, (1981) 566-569.
V. D. Estruch, A. Vidal, A note on fixed fuzzy points for fuzzy mappings, Rend Istit. Univ. Trieste. 32, 39–45 (2001)
R.K. Bose, D. Sahani, Fuzzy mappings and Fixed point theorems, Fuzzy Sets and Systems 21 (1987) 53–58.
T. Som, R. Mukherjee, Some Fixed point theorems for fuzzy mappings, Fuzzy Sets and Systems 33 (1989) 213– 219
J.Y.Park, J.U. Jeong, Fixed point theorems for fuzzy mappings, Fuzzy Sets and Systems 33 (1997) 111–116
V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum 9 (1) (2004) 43-53.
V. Torra, Hesitant Fuzzy Sets, International Journal of Intelligent Systems, 2010.
K. E. Osawaru, J. O. Olaleru, H. O. Olaloluwa,T − Relative Fuzzy Sets, Journal of Fuzzy Set Valued Analysis (2) 86-110 (2018).
Liao, H.C., Xu, Z.S., Xia, M.M.: Multiplicative consistency on hesitant fuzzy preference relation and the application on group decision making, International Journal of Information Technology and Decision Making (2013), doi:10.1142/S0219622014500035
Chen, N., Xu, Z.S., Xia, M.M.: Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis, Applied Mathematical Modelling 37, 2197–2211 (2013a).
Osawaru, K. E., Akewe, H. Hesitant fuzzy mappings on B-metric space and fixed point theorems, Journal of the Nigerian Association of Mathematical Physics, Vol.37 (2018) pp 31-36.
K. E. Osawaru, J. O. Olaleru, H. Akewe. T-Relative Fuzzy Maps and Some Fixed Point Results.
Downloads
Published
Issue
Section
License
Copyright (c) 2023 The Journals of the Nigerian Association of Mathematical Physics
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.