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研究生: 林雅婷
Ya-Ting Lin
論文名稱: 在四邊形錐度量空間上的公共固定點定理
A Common Fixed Point Theorem in Cone Rectangular 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: 中文
論文頁數: 11
中文關鍵詞: 四邊形錐度量空間公共固定點
外文關鍵詞: cone rectangular metric space, common fixed point
相關次數: 點閱:3下載:0
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  • 摘要
    ˉˉ在本文中,我們首先介紹函數phi滿足(CBW)條件,然後證明一個在四邊形錐度量空間上的公共固定點定理。


    Abstract
    In this paper, we first introduce the function phi which satisfies the condition (CBW), and then prove a common fixed point theorem in a cone rectangular metric space.

    CONTENTS 1.Introduction and Preliminaries-------------1 2.Main results ------------------------------8 3.References--------------------------------11

    References
    [1] A. Azam, M, Arshad and I. Beg, Banach contraction principle on cone rectangular metric spaces, Appl. Anal. Discrte Math.to appear.
    [2] A. Branciari, A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen57 1-2(2000), 31-37.
    [3] L. Ciric. Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces. Nonlinear Analysis 72(2010), 2009-2018.
    [4] L. G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. appl.332(2007), 1468-1476.
    [5] M. Jleli and B. Samei, The Kannan’s fixed point theorem in a cone rectangular metric space, J. Nonlinear Sci. Appl.2(2009) No.3 161-167.
    [6] F. Sabetghadam, H.p. Masiha, Common fixed points for generalized phi-pair mappings on cone metric spaces, Fixed point theory and Appl.2010(2010), 8 pages, Article Id 718340.

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