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 |
相關次數: | 點閱:1 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] J. Achari, Generalized multi-valued contractions and fixed points, Rev. Roum. Math. Pures. Appl.,24(1979), 179-182.
[2] B. Fisher, Common fixed points of mappings and set-valued mapping on metric spaces, Kyugpook. J. Math.,25(1985), 35-42.
[3] B. Fisher, S. Sessa Two common fixed point theorems for weakly commut-ing mappings, Periodica. Math. Hungarica20(1989), 207-218.
[4] T. Kita, A common fixed point theorems for mutlivalued mappings, Math. Japon.,22(1977), 113-116.
[5] J. Markin, A fixed point theorem for set-valued mappings, Bull. Amer. Math. Soc.,74(1968), 639-640.
[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.
[8] C. L. Yen, On common fixed points (II), Tamkang J. Math.,4(1973).
[9] X. Zhang, Common fixed point theorems for some new generalized contractive type mappings J. Math. Anal. Appl.,333(2007), 780-786.