研究生: |
郭克偉 Ke-Wei Kuo |
---|---|
論文名稱: |
在錐度量空間關於弱Meir-Keeler型式集收縮的固定點定理 Fixed point theorems for a weaker Meir-Keeler tpye set contraction in cone metric spaces |
指導教授: |
陳啓銘
Chi-Ming Chen 張東輝 Tong-Huei Chang |
口試委員: | |
學位類別: |
碩士 Master |
系所名稱: |
|
論文出版年: | 2011 |
畢業學年度: | 99 |
語文別: | 英文 |
論文頁數: | 8 |
中文關鍵詞: | 錐度量空間 、弱Meir-Keeler型式集收縮 、固定點定理 |
外文關鍵詞: | Cone metric space, Weaker Meir-Keeler type set contraction, Fixed point theorem |
相關次數: | 點閱:4 下載:0 |
分享至: |
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
在這篇論文中,我們首先在一個P錐度量空間中定義一個弱Meir-Keeler型式函數ψ: intP∪{ } → intP∪{ }。在弱Meir-Keeler型式函數下,從錐度量空間的KKM(X,X)集族中得到固定點定理。
In this paper, we first define a weaker Meir-Keeler type function ψ:intP∪{ } → intP∪{ } in a cone metric space with a cone P. Under this weaker Meir-Keeler type function, we show the fixed point theorems for the family KKM(X,X) in cone metric spaces.
[1] A. Amini, M. Fakhar and J. Zafarani, KKM mappings in metric spaces, Nonlinear Anal., 60(2005), 1045-1052.
[2] T. H. Chang and C. L. Yen, KKM property and fixed point theorems in metric spaces, J. Math. Anal. Appl., 333(2006), 1231-1237.
[3] Ky Fan, A generalization of Tychonoff’s fixed point theorem, Math. Ann., 142(1961), 305-310.
[4] L. G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 322(2007), 1468-1476.
[5] B. Knaster, C. Kuratowski and S. Mazurkiewicz, Ein Beweis des Fixpunksatzes fur n-dimensionale Simplexe, Fund. Math., 14(1929), 132-137.
[6] Kuratowski, Topologie, vol.1, PWN, Warszawa, 1958.
[7] A. Meir and E, Keeler, A theorem on contraction mappings, J. Math. Anal. Appl., 28(1969), 326-329.
[8] D. Turkoglu, M. Abuloha and T. Abdeljawad, KKM mappings in cone metric spaces and some fixed point theorems, Nonlinear Anal., 72(2010), 348-353.