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作者(中文):洪緯生
作者(外文):Hong, Wei-Sheng.
論文名稱(中文):MT-K循環映射下的最佳鄰近點定理
論文名稱(外文):Best Proximity Point Theorem for the MT-K-cyclic mapping
指導教授(中文):陳啟銘
陳正忠
指導教授(外文):Chen, Chi-Ming
Chen, Jeng-Chung
口試委員(中文):施信宏
蔡明誠
口試委員(外文):Shi, Xin-Hong
Cai, Ming-Cheng
學位類別:碩士
校院名稱:國立清華大學
系所名稱:應用數學系所
學號:210524207
出版年(民國):108
畢業學年度:107
語文別:中文
論文頁數:7
中文關鍵詞:最佳鄰近點定理K循環映射MT函數
外文關鍵詞:Best Proximity Point TheoremK-cyclic mappingMT-function
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在本次研究中,通過使用K循環映射和MT函數,我們將介紹MT-K循環映射的概念,並證明在MT-K循環映射上的最佳鄰近點定理。
In this study, by using the K-cyclic mapping and MT-function, we introduce the notion of MT-K-cyclic mapping, and prove a best proximity point theorem for the MT-K-cyclic mapping.
摘要
論文
第一章Introductions and Preliminaries--- 1

第二章Main Results------ 2

Reference------ 7
[1] A.A Eldred, W.A.Kirk, and P. Veeramani, “Proximal normal structure and relatively nonexpansive mappings,”Studiaa Mathematica, vol. 171, no. 3, pp.283-293, 2005.
[2] A.A Eldred and P. Veeramani, “Existence and convergence of best proximity points,” Journal of Mathematical Analysis and Applications, vol. 323,no. 2, pp.1001-1006, 2006.
[3] S. Sadiq Basha, “Best proximity point: global optimal approximate solutions,” Journal of Global Optimization, vol. 49,no. 1, pp.15-21, 2011.
[4] M. A Al-Thagafi and N. Shazad, ”Convegence and existence results for best proximity points,” Nonlinear Avalysis A, vol. 70,no. 10, pp.3665-3671, 2009.
[5] A.A Eldred and P. Veeramani, “Existence and convergence of best proximity points,” Journal of Mathematical Analysis and Applications, vol. 323,no. 2, pp.1001-1006, 2006.
[6] C. Di Bari, T. Suzuki, and C. Vetro,” Best proximity point theorems for cyclic Meir-Keeler contractions,” Nonlinear Avalysis A, vol. 69,no. 11, pp.3790-3794, 2008.
[7] S. Karpagam and S. Agrawal,” Best proximity point theorems for p-cyclic Meir-Keeler contraction,” Fixed Point Theory and Applications, Article ID 197308, 9 pages, 2009.
[8] S. Sadiq Basha, N. Shahzad, and R. Jeyaraj,”Optimal approximate solutions of fixed point equations,” Abstract and Applied Analysis, vol. 2011, Article ID 174560, 9 pages, 2011.
[9] W.S.Du, On coincidence point and fixed point theorems for nonlinear multivalued maps, Topology and Applications, 159(2012), 49-56.
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