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研究生: 林靖儒
Ching-Ju Lin
論文名稱: 在循環的弱Meir-Keeler收縮函數裡的最佳週期鄰近點
Best periodic proximity points for cyclic weaker Meir-Keeler contractions
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: 2012
畢業學年度: 100
語文別: 英文
論文頁數: 8
中文關鍵詞: 最佳鄰近點最佳週期鄰近點收縮函數弱Meir-Keeler函數循環的弱Meir-Keeler函數
外文關鍵詞: Best proximity point, Best periodic proximity point, contractions, weaker Meir-Keeler, cyclic weaker Meir-Keeler
相關次數: 點閱:50下載:0
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  • 本篇主要是探討在度量空間上的兩個函數的最佳週期鄰近點,
    分別是:循環的弱Meir-Keeler收縮函數及漸進循環的弱Meir-Keeler收縮函數。


    Abrstract

    The purpose of this paper to present the existence of the best period proximity points for cyclic weaker Meir-Keeler contraction and asymptotic cyclic weaker Meir-Keeler contraction in metric spaces.

    Abrstract 1.Introduction and Preliminaries 2.The best periodic proximity points for cyclic weaker Meir-Keeler contractions 3.The best periodic proximity points for asymptotic cyclic weaker Meir-Keeler contractions 4.Acknowledgment 5.Acknowledgments 6.References

    [1] C. Di Bari, T. Suzuki and C. Vetro, Best
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    [2] S. Sadiq Basha, Best proximity point theorems, J.
    Approximation Theory,163 (2011) 1772-1781.
    [3] A.A. Eldred, W.A. Kirk and P. Veeramani Proximal normal
    structure and relatively nonexpansive mappings, Studia.
    Math., 171(2005), 283-293.
    [4] A.A. Eldred and P. Veeramani Existence and convergence
    of best proximity points, J. Math. Anal. Appl, 323
    (2006), 1001-1006.
    [5] S. Karpagam an Susdhama Agrawal, Best proximity point
    theorems for cyclic orbital Meir-Keeler contraction
    maps, Nonlinear Anal.(TMA), 74(2011), 1040-1046.
    [6] W.A. Kirk, P.S. Srinivasan and P. Veeramani, Fixed
    points for mappings satisfying cyclical contractive
    conditions, Fixed Point Theory, Vol.4 NO.1
    (2003), 79-89.

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