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| 研究生： |
張欽洲 Chang, Chin-Chou |
|---|---|
| 論文名稱： |
MT-C循環映射上之最佳鄰近點 Best Proximity Point of the MT-C-Cyclic Mapping |
| 指導教授： |
陳啟銘
Chen, Chi-Ming 陳正忠 Chen, Jeng-Chung |
| 口試委員: |
施信宏
Shih, Hsin-Hung 蔡明誠 Tsai, Ming-Cheng |
| 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： | 2019 |
| 畢業學年度： | 107 |
| 語文別： | 英文 |
| 論文頁數： | 13 |
| 中文關鍵詞： | 最佳鄰近點 、MT-C循環映射 |
| 外文關鍵詞： | MT-C-Cyclic Mapping, Best Proximity Point |
| 相關次數： | 點閱：38 下載：0 |
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摘要
在本次研究裡，目的在於建立對於一對 T:A⟶B 和 S:B⟶A MT-C循環映射之最佳鄰近點理論。
Abstract
In this study, we establish a best proximity point theorem for a pair of mappings T:A⟶B and S:B⟶A form an MT – C – cyclic mapping.
References
[1] Ky Fan, Extensions of two fixed point theorems of F.E. Browder, Math. Z.122 (1969) 234-240.
[2] J.B. Prolla, Fixed point theorems for set valued mappings and existence of best approximations, Numer. Funct. Anal. Optim. 5 (1982 – 1983) 449 – 455.
[3] S. Reich, Approximate selections, best approximations, fixed points and invariant sets, J. Math. Anal. Appl. 62 (1978) 104-113.
[4] V.M. Sehgal S.P. Singh, A generalization to multifunctions of fans best approximation theorem, Proc. Amer. Math . Soc. 102 (1989) 534 -537.
[5] V.M. Sehgal S.P. Singh, A theorem on best approximations, Numer. Funct. Anal. Optim. 10 (1989) 181-184.
[6] M.A. Al-Thagafi, N. Shahzad, Convergence and existence results for best proximity points, Nonlinear Anal. 70 (10) (2009) 3665-3671.
[7] A. Anthony Elderd, P. Veeramani, Existence and convergence of best proximity points, J. Math. Anal. Appl. 323 (2006) 1001-1006.
[8] C. Di Bari, T. Suzuki, C. Vetro, Best proximity points for cyclic Meir-Keeler contractions, Nonlinear Anal. 69 (11) (2008) 3790-3794.
[9] S. Karpagam, S. Agrawal, Best proximity points for p-cyclic Meir-Keeler contractions, Fixed point Theory Appl. (2009) Art. ID 197308, 9 pp.
[10] C. Vetro, Best proximity point: convergence and existence theorem for p-cyclic mappings, Nonlinear Anal. 73
[11] M.A. Al-Thagafi, N. Shahzad, Best proximity pairs and equilibrium pairs for Kakutani multimaps, Nonlinear Anal. 70 (3) (2009) 1290-1216.
[12] M.A. Al-Thagafi, N. Shahzad, Best proximity sets and equilibrium pairs for a finite family of multimaps, Fixed Point Theory Appl. (2008) Art. ID 457069 ,10pp.
[13] W.A. Kirk, S. Reich, P. Veeramani, Proximinal retracts and best proximity pair theorems, Numer. Funct. Anal.
[14] S.Sadiq Basha, P. Veeramani, Best approximations and best proximity pairs, Acta Sci. Math. (Szegad) 63 (1997) 289-300
[15] S.Sadiq Basha, P. Veeramani, Best proximity pair theorem for multifunctions with open fibers, J. Approx. Theory 103 (2000) 119-129.
[16] K. Wlodarczyk, R. Plebaniak, A. Banach, Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces, Nonlinear Anal. 70 (9) (2009) 3332-3341.