簡易檢索 / 詳目顯示

研究生: 羅錫康
論文名稱: 在完備推廣型度量空間上的公共固定點定理
A Common Fixed Point Theorem in Complete G-Metric Spaces
指導教授: 張東輝
Tong-Huei Chang
陳啟銘
Chi-Ming Chen
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: 2010
畢業學年度: 98
語文別: 英文
論文頁數: 9
中文關鍵詞: 推廣型度量空間公共固定點同值點
外文關鍵詞: G-metric space, Common fixed poin, Coincidence point
相關次數: 點閱:3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
  • 在本篇論文中,我們證明了在擁有CBW的條件下,兩個單值函數在完備的推廣型度量空間中具有同值點。我們同時也證明了,如果這兩個函數在他們的同值點上是可交換的,則有公共固定點。


    In this paper, we prove some coincidence points for mapping satisfying (CBW) conditions on complete G-Metric Spaces, also we showed if mappings f and g are commute at their coincidence points, then they have a common fixed point result.

    誌謝----------------------------------------------------I 中文摘要-------------------------------------------------III 英文摘要-------------------------------------------------IV 目錄----------------------------------------------------V INTROCTION AND PRELIMINARIES----------------------------1 MAIN RESULTS--------------------------------------------5 REFRENCES-----------------------------------------------10

    [1] R. P. Agarwal, M. A. El-Gebeily, and D.O'Regan, "Generalized in partially ordered metric spaces," Applicable Analysis. Vol. 87, no. 1, pp. 109-116, 2008.
    [2] Ljubomir Ciric, Nenad Cakic Miloje Rajovic, and Jeong Sheok Ume, "Monotone Genwealized Nonlinear Contractions in Partially Order Metric Spaces," Fixed Point Theory and Applications. Vol. 2008, 2008.
    [3] Ljubomir Ciric, "Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces," Nonlinear Analysis: Theory, Methods and Applications. Vol. 72, no. 3-4, pp. 2009-2018, 2010.
    [4] S. Gahler, "2-metrische Raume und topologische Struktur," Mathematusche Nachichten. Vol. 26, no.1-4, pp. 115-148, 1963.
    [5] S. Gahler, "Zue geometric 2-metriche raume," Revue Roumaine de Mathematiquew Pure et Appliquees. Vol. 11, pp. 665-667, 1966.
    [6] B. C. Dhage, "Generalised metric spaces and mappings with fixed point," Bulletin of the Calcutta Mathematical Society. Vol. 84, no. 4, pp. 320-336, 1992.
    [7] B. C. Dhage, "Generalised metric spaces and topological structure. I," Analele Stiintifice ale Universitatii Al. I. Cuza din lasi. Serie Noua. Mathematica. Vol. 46, no. 1, pp. 3-24, 2000.
    [8] K.S. Ha, Y.J. Cho, and A. White, "Strictly convex and strictly 2-convex 2-normed
    spaces," Mathematica japonica, Vol. 33, no.3, pp. 357-384, 1988.
    [9] Z. Mustafa and B. Sims, "Some remarks concerning D-metric spaces," in Proccedings of the International Conference on Fixed Point Theory and Applications. pp. 189-198, Valencia, Spain, July 2004.
    [10] Z. Mustafa and B. Sims, "A new approach to generalized metric spaces," Journal of Nonlinear and Convex Analysis. Vol. 7, no. 2, pp. 289-297, 2006.
    [11] Z. Mustafa and B. Sims, "A new structure for generalized metric spaces-with applications to fixed point theory," Ph.D. thesis, The University of Newcastle, Callaghan, Australia, 2005.
    [12] Z. Mustafa and B. Sims, "Fixed point theorems for contractive mappings in complete G-metric spaces," Fixed Point Theory and Applications, Vol. 2009, 2009.

    無法下載圖示 全文公開日期 本全文未授權公開 (校內網路)
    全文公開日期 本全文未授權公開 (校外網路)

    QR CODE