Existence theorems for fixed fuzzy points with closed α-cut sets in complete metric spaces
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In this paper, some fuzzy fixed point theorems for fuzzy mappings are established by considering the nonempty closed α-cut sets. Some importance observations are also discussed. Our results clearly extend, generalize and improve the corresponding results in the literatures, which have given most of their attention to the class of fuzzy sets with nonempty compact or closed and bounded α-cut sets.
Abstract
In this paper, some fuzzy fixed point theorems for fuzzy mappings are established by considering the nonempty closed α-cut sets. Some importance observations are also discussed. Our results clearly extend, generalize and improve the corresponding results in the literatures, which have given most of their attention to the class of fuzzy sets with nonempty compact or closed and bounded α-cut sets.
참고문헌 (13)
- A. Azama, "Common xed points of fuzzy maps, Math. Comput", Math. Comput. Modelling, 49(7), pp.1331~1336 (2009)
- R. K. Bose, "Fuzzy mappings and xed point theorems", Fuzzy Sets and Systems, 21(1), pp.53~58 (1987)
- D. Butnariu, "Fixed points for fuzzy mappings", Fuzzy Sets and Systems, 7(2), pp.191~207 (1982)
- V. D. Estruch, "A note on xed fuzzy points for fuzzy mappings", Rend. Istit. Mat. Univ. Trieste, 32(2), pp.39~45 (2001)
- S. Heilpern, "Fuzzy mappings and xed point theorem", J. Math. Anal. Appl, 83(2), pp.566~569 (1981)
- T. Kamram, "Mizoguchi-Takahashi's type xed point theorem", Comput. Math. Appl, 57(3), pp.507~511 (2009)
- B. S. Lee, "A xed point theorem for contractive-type fuzzy mappings", Fuzzy Sets and Systems, 61(3), pp.309~312 (1994)
- D. Qiu, "Supremum metric on the space of fuzzy sets and common xed point theorems for fuzzy mappings", Inform. Sci, 178(18), pp.3595~3604 (2008)
- R. A. Rashwan, "Common xed point theorems for fuzzy mappings", Arch. Math. (Brno), 38(3), pp.219~226 (2002)
- S. Sedghi, "A xed fuzzy point for fuzzy mappings in complete metric spaces", Math. Commun, 13(2), pp.289~294 (2008)
- D. Turkoglu, "A xed fuzzy point for fuzzy mapping in complete metric spaces", Math. Commun, 10(2), pp.115~121 (2005)
- C. K. Wong, "Fuzzy points and local properties of fuzzy topology", J. Math. Anal. Appl, 46, pp.316~328 (1974)
- L. A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)