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t-BEST APPROXIMATION IN FUZZY NORMED SPACES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 10، دوره 5، شماره 2، شهریور 2008، صفحه 93-99 اصل مقاله (158.32 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2008.338 | ||
| نویسندگان | ||
S. M. Vaezpour  1؛ F. Karimi2
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| 1Department of Mathematics, Amirkabir University, Tehran, Iran | ||
| 2Department of Mathematics, University of Yazd, Yazd, Iran | ||
| چکیده | ||
| The main purpose of this paper is to find t-best approximations in fuzzy normed spaces. We introduce the notions of t-proximinal sets and F-approximations and prove some interesting theorems. In particular, we investigate the set of all t-best approximations to an element from a set. | ||
| کلیدواژه‌ها | ||
| Fuzzy normed space؛ t-best approximation؛ t-proximinal set | ||
| مراجع | ||
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[1] T. Bag and S. K. Samanta,Finite dimentional fuzzy normed linear spaces, J. Fuzzy Math., 11(3)(2003), 678-705. [2] S. C. Cheng and J. N. Mordeson,Fuzzy linear operator and fuzzy normed linear spaces, Bull. Calcutta Math. Soc.,86 (1994), 429-436. [3] F. Deutsch,Best approximation in inner product spaces, Springer-Verlag, 2001. [4] A. George and P. Veeramani,On some results in fuzzy metric spaces, Fuzzy Sets and Systems, 64(1994), 395-399. [5] A. George and P. Veeramani,On Some results of analysis for fuzzy metric spaces, Fuzzy Sets and Systems,90 (1997), 365-368. [6] R. Saadati and S. M. Vaezpour,Some results on fuzzy Banach spaces, J. Appl. Math. & Computing,17(1-2) (2005), 475-484. [7] I. Singer,Best approximation in normed linear spaces by elements of linear subspaces, Springer-Verlag, 1970. [8] P. Veeramani,Best approximation in fuzzy metric spaces, J. Fuzzy Math., 9(1) (2001), 75-80. [9] L. A. Zadeh,Fuzzy sets, Inform. and Control, 8 (1965), 338-353. | ||
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