研究生: |
劉建興 Lin-Chien Hsin |
---|---|
論文名稱: |
模糊映射的共同定點定理 Common fixed point theorems of fuzzy maps |
指導教授: |
張東輝
Tong-Huei Chang 陳啟銘 Chi-Ming chen |
口試委員: | |
學位類別: |
碩士 Master |
系所名稱: |
|
論文出版年: | 2011 |
畢業學年度: | 99 |
語文別: | 英文 |
論文頁數: | 7 |
中文關鍵詞: | 弱Meir-Keeler收縮型函數 、定點 、糢糊集合 、模糊映射 |
外文關鍵詞: | The weaker Meir-keeler type contraction, Fixed point, Fuzzy set, Fuzzy mapping |
相關次數: | 點閱:3 下載:0 |
分享至: |
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
我們在度量線性空間上,證明一對滿足收縮型的弱Meir-Keeler的模糊映射有固定點。
We prove the common fixed point theorems for a pair of fuzzy mappings satisfying the weaker Meir-keeler type contraction in a metric linear space.
[1] Ya. l. Alber, S. Guerr-Delabriere, Principle of weakly contractive maps in Hilbert space, Oper. Theory Adv. Appl. 98(1997), 7-22.
[2] A. Azam, I. Beg, Common fixed points of fuzzy maps, Math. Comp. model. 49(2009), 1331-1336.
[3] R. K. Bose, D. Sahani, Fuzzy mappings and fixed point theorems, Fuzzy Sets and Systems 21(1987), 53-58.
[4] S. Heilpern, Fuzzy mappings and fixed point theorems, J. Math. Anal. Appl. 83(1981), 566-569.
[5] B. S. Lee, S. J. Cho, A fixed point theorem for contractivetype fuzzy mappings, Fuzzy Sets and Systems 61(1994), 309-312.
[6] B. S. Lee, G. M Lee, S. J. Cho, D. S. Kim, A common fixed point theorem for a pair of fuzzy mappings, Fuzzy Sets and Systems 98(1998), 133-136.
[7] S. B. Nadler, Multivalued contraction mappings, Pacific J. Math. 30(1969), 475-488.
[8] A. Meir, E, Keeler, A theorem on contraction mappings, J. Math. Anal. Appl. 28(1969), 326-329.
[9] R. A. Rashwan, M. A. Ahmad, Common fixed point theorems for fuzzy mappings, Arch. Math (Brno)38(2002), 219-226.
[10] B. E Rhoades, Keeler, A common fixed point theorem for sequence of fuzzy mapping, Int. J. Math. Math. Sci. 8(1995), 447-450.
[11] I. A. Rus, Fixed point theorems for multivalued mappings in complete metric spacs, Cluj University Press, Cluj-Napoca. (2001).
[12] C. L. Yen, On common fixed points (II), Tamkang J. Math. 4(1973).