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Approach to fuzzy differential equations in Intuitionistic fuzzy metric spaces using generalized contraction theorems | ||
| Journal of Hyperstructures | ||
| دوره 13، شماره 1، 2024، صفحه 109-123 اصل مقاله (263.61 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2024.14825.1011 | ||
| نویسندگان | ||
| Ram Milan Singh* 1؛ Deepak Singh2؛ Rahul Gourh3 | ||
| 1IEHE, BHOPAL | ||
| 2MP Government | ||
| 3Research Scholar, Department of Mathematics Institute for Excellence in Higher Ed- ucation Bhopal, India | ||
| چکیده | ||
| Approach to fuzzy differential equations in fuzzy metrics using generalized contra ction theorems One of the most fascinating fields of mathematical inquiry is fixed point.In this direction, by utilizing ”the triangular property of fuzzy metric ”, we investigate certain special common fixed point solutions for a pair of self mappings without continuity on fuzzy metric spaces under the generalized contraction requirements. We also provide generalized Ciri’s c contraction theorems and weak contraction theorems. The findings are corroborated by pertinent cases. Additionally, we provide a workable application of the fuzzy differential equation s to guarantee the presence of a singular common solution to support our primar y research | ||
| کلیدواژهها | ||
| Intuitionistic Fuzzy norm؛ t-norm؛ fuzzy differential equations؛ Intuitionistic fuzzy differential equations؛ contraction conditions؛ fuzzy metric space؛ Intuitionistic fuzzy metric space | ||
| مراجع | ||
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[1] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353. [2] I. Kramosil, J. Michalek, Fuzzy metric and statistical metric spaces, Kyber-netika, 11 (1975), 336-344. [3] A. George, P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Set. Syst., 64 (1994), 395399. https://doi.org/10.1016/0165-0114(94)90162-7. [4] M. Grabiec, Fixed points in fuzzy metric spaces, Fuzzy Set. Syst., 27 (1988), 385-389. [5] C. D. Bari, C. Vetro, A xed point theorem for a family of mappings in fuzzy metric space, Rend. Circ. Mat. Palermo, 52 (2003), 315-321. [6] I. Beg, M. Abbas, Invariant approximation for fuzzy non expansive mappings, Math. Bohem., 136 (2011), 51-59. [7] I. Beg, S. Sedghi, N. Shobe, Fixed point theorems in fuzzy metric spaces, Int. J. Anal., 2013 (2013), 134-145. | ||
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