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研究生: 林廷霖
論文名稱: 弱美爾基勒收縮型相容函數之公共固定點定理
Common Fixed Point Theorems For Compatible Mappings Satisfying Weaker Meir-Keeler Contractive Conditions
指導教授: 張東輝 博士
陳啟銘 博士
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: 2009
畢業學年度: 97
語文別: 英文
中文關鍵詞: 固定點定理度量空間相容
外文關鍵詞: Fixed point theorems, Metric spaces, Compatible
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  • 在本論文中,我們首先定義弱美爾基勒型函數,再利用這定義和相容性質,我們證明在完備度量空間中,兩個單值函數和兩個多值函數,在弱美爾基勒收縮條件下的一些公共固定點定理


    In this paper, we first define a weaker Meier-Keeler type function . Next, we establish some common fixed point theorems for two single-valued functions and two set-valued functions satisfying the weaker Meier-Keeler contractive conditions in a complete metric space using the concept of compatibility.

    1.INTRODUCTION 1 2.PRELIMINARIES 2 3.MAIN RESULTS 4 4.REFERENCE 11

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    [6] A. Meir, E. Keeler, A theorem on contraction mappings, J. Math. Anal. Appl., 28(1969),326-329.
    [7] S. V. R. Naidu, J. Rajendra Prasad, Fixed point theorem for set-valued maps on a metric space, Indian. J. Pure Appl. Math.,17(1986), 286-307.
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    [9] X. Zhang, Common fixed point theorems for some new generalized contractive type mappings J. Math. Anal. Appl.,333(2007), 780-786.

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