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| 研究生： |
蔡柏淵 Tsai, Bo-Yuan |
|---|---|
| 論文名稱： |
探討擴展b-度量空間 A Discussion on Extended b-Metric Spaces |
| 指導教授： |
陳啟銘
Chen, Chi-Ming |
| 口試委員: |
李俊璋
Lee, Chiun-Chang 杜威仕 Du, Wei-Shih |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 計算與建模科學研究所 Institute of Computational and Modeling Science |
| 論文出版年： | 2022 |
| 畢業學年度： | 110 |
| 語文別： | 英文 |
| 論文頁數： | 16 |
| 中文關鍵詞： | 擴展b-度量空間 、固定點 、收縮條件 、廣義插植收縮函數 |
| 外文關鍵詞： | extended b-metric space, fixed point, contractive condition, generalized interpolative contraction |
| 相關次數： | 點閱：1 下載：0 |
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Kamran於2017年提出了擴展b-度量空間，並且給出在此空間上的固定點理論。我們於章
節二提出了一些構造擴展b-度量空間的方法。此外，我們於推論2.6中提出了構造度量空間
的方法。最後，於章節三中推廣了interpolative Reich–Rus–Ćirić type contraction及generalized contraction，證明其在擴展b-度量空間的固定點存在性。
In 2017, Kamran [9] proposed the extended b-metric space and proved some fixed point results on the space. In Chapter 2, we prove some approaches to contruct an extended b-metric space. Moreover, we present a sufficient condition of a metric space in Corollary 2.6. Finally, we prove a fixed point theorem on extended b-metric space by extending the interpolative Reich–Rus–Ćirić type contraction and the generalized contraction.
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