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| 研究生： |
林重佑 Chung-Yu Lin |
|---|---|
| 論文名稱： |
在偏序度量空間中的循環弱收縮固定點定理 Fixed point of cyclic weak contractions in partial metric spaces |
| 指導教授： |
陳啟銘
Chi-Ming Chen 李俊璋 Chiun-Chang Lee |
| 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： | 2013 |
| 畢業學年度： | 101 |
| 語文別： | 英文 |
| 論文頁數： | 17 |
| 中文關鍵詞： | 固定點 、循環弱收縮 、偏序度量空間 |
| 外文關鍵詞： | Fixed point, Cyclic weak contraction, Partial metric spaces |
| 相關次數： | 點閱：4 下載：0 |
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本篇論文主要是探討在完備的偏序度量空間中，一個建立在 φ,ϕ,ξ：R^+→R^+ 和 ψ：R^(+^4 )→R^+ 四個函數上的循環弱收縮函數之固定點定理。
The purpose of this paper is to study a fixed point theorem for a mapping satisfying the cyclical generalized contractive conditions based on four functions φ,ϕ,ξ：R^+→R^+ and ψ：R^(+^4 )→R^+ in complete partial metric spaces.Our results generalize and improve many recent fixed point theorems in the literature.
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