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| 研究生： |
粘筱盈 |
|---|---|
| 論文名稱： |
收縮型相容函數族之公共固定點定理 Common Fixed Point Theorems for Compatible Mappings Satisfying Contractive Conditions |
| 指導教授： |
張東輝 博士
陳啟銘 博士 |
| 口試委員: | |
| 學位類別： |
碩士 Master |
| 系所名稱： |
南大校區系所調整院務中心 - 應用數學系所 應用數學系所(English) |
| 論文出版年： | 2009 |
| 畢業學年度： | 97 |
| 語文別： | 中文 |
| 論文頁數： | 17 |
| 中文關鍵詞： | 固定點定理 、收縮型 、相容 、緊緻 、弱交換 |
| 外文關鍵詞： | fixed point theorem, contraction, compatible, compact, weakly commuting |
| 相關次數： | 點閱：2 下載：0 |
| 分享至: |
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在本論文中，我們分別證明了在完備度量空間和緊緻度量空間中，二個單值函數和二個多值函數收縮型相容函數的公共固定點定理。我們的結果推廣了一學者的研究成果。
In this paper, we prove some common fixed point theorems for two single-valued functions and two set-valued functions satisfying some generalized contractive conditions in metric spaces by using the concept of compatibility. These theorems extended some results of authors.
[1] J. Achari, Generalized multi-valued contractions and fixed points, Rev. Roum. Math. Pures. Appl., 24 (1979), 179-182.
[2] B. Fisher, Common fixed points of mappings and set-valued mapping on metric spaces, Kyugpook. J. Math., 25 (1985), 35-42.
[3] B. Fisher, S. Sessa, Two common fixed point theorems for weakly commuting mappings, Periodica. Math. Hungarica., 20 (1989), 207-218.
[4] G. Jungck, Compatible mappings and common fixed points, Internat. J. Math. And Math. Sci. , 9 (1986),771-779.
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[7] J. Markin, A fixed point theorem for set-valued mappings, Bull. Amer. Math. Soc., 74 (1968), 639-640.
[8] S. V. R. Naidu, J. Rajendra Prasad, Fixed point theorem for set-valued maps on a metric space, Indain. J. Pure Appl. Math., 17 (1896), 286-307.
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[11] X. Zhang, Common fixed point theorems for some new generalized contractive type mappings J. Math. Anal. Appl., 333 (2007), 780-786.
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