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研究生: 鐘啟昇
Chi-Sheng Chung
論文名稱: 在四邊形錐度量空間上的公共固定點定理
Common fixed point theorems in cone rectangular metric spaces
指導教授: 張東輝
陳啟銘
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
論文頁數: 14
中文關鍵詞: 錐度量空間四邊形的錐度量空間可相容的公共固定點定理收縮函數(CBW)
外文關鍵詞: cone metric space, cone rectangular metric space, compatible, common fixed point theorem, condition (CBW)
相關次數: 點閱:2下載:0
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  • 在本文中我們探討了收縮函數(CBW)在完備的四邊形錐度量空間的公共固定點問題並且推廣了一些作者的結果[2,7]。


    In this paper, we get some common fixed theorems in complete cone rectangular metric spaces under contractive condition (CBW). Our results extend many authors’ results [2,7].

    1.Introduction......1 2.Definitions and Preliminaries......2 3. Main results......7 4. References......14

    [1] M.Abbas and G. Jungck, Common fixed point results for non commuting mappings without continuity in cone metric space, J. Math. Anal. Appl. 341(2008), 416-420.
    [2] A. Azam, M. Arshad, and I. Beg, Banach contraction principle on cone rectangular metric spaces, Appl. Anal. Discrete Math, 3(2009), 236-241.
    [3] A. Branciari, A fixed point theorem of Banach-Cacciopoli type on a class of generalized metric spaces, Publ. Math. Debrecen, 57, 1-2(2000), 31-37.
    [4] L. Ciric, Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric space, Nonl. Anal. T.M.A 72(2010), 2009-2018.
    [5] L. G. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. appl. 322(2007), 1468-1476.
    [6] D. Ilic and V. Rakocevic, Common fixed points for maps on cone metric space, J. Math. Anal. Appl. 341(2008), 876-882.
    [7] M. Jleli and B. Samet, The Kannan's fixed point theorem in a cone rectangular metric space, J. Nonlinear Sci. Appl. 2(2009).no.3. 161-167.
    [8] S. Rezapour and R. Hamlbarani, Some notes on paper "Cone metric spaces and fixed point theorems of contractive mappings." J. Math. Anal. Appl in press
    [9] P. Vetro, Common fixed points in cone metric spaces, Rend. Circ. Mat. Palermo 56(2007), 464-468.
    [10] C. L. Yen, On common fixed points(II), Tamkang J. Math. 4(1973), 57-60.

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