簡易檢索 / 詳目顯示

回結果列表
研究生： 葉梅嬌
Mei-Chiao Yeh
論文名稱： 多值函數公共固定點定理
Fixed Point Theorm for Contractive Type Set-Valued Mappings
指導教授： 張東輝
Tong-Huei Chang
口試委員:
學位類別： 碩士
Master
系所名稱：
論文出版年： 2004
畢業學年度： 92
語文別： 中文
論文頁數： 11
中文關鍵詞： 固定點定理 、集值函數 、度量空間
外文關鍵詞： Fixed Point Theorem, Set-Valued Function, Complete Matrix Space
相關次數： 點閱：3  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

    • 在這篇論文中，我們證明一些 －收縮型集值函數的公共固定點定理，這些定理推廣了其它作者的許多結果。

    In this paper we prove some common fixed point theorems for contractive type set-valued mappings. These theorems extend some results of a number of authors.

    1.Introduction ………………………………3 2.Notations and definitions………………3 Definition 1 …………………………………4 Definition 2 …………………………………4 Definition 3 …………………………………4 3.Main results ………………………………5 Theorem 1 ……………………………………5 Theorem 2………………………………………10 Corollary 3……………………………………10 4.References …………………………………11

    1. B. E. Rhoades, S. Park and K. B. Moon, On generalizations of the Meir-Keeler type contraction maps, J. Math. Anal. Appl., 146 (1990), 482-494.
    2. J. Markin, A fixed point theorem for set-valued mappings, Bull. Amer. Math.Soc., 74 (1968), 639-640.
    3. S. B. Nadler, Jr., Multivalued contraction mappings, Pacific J. Math., 30 (1969), 475-488.
    4. J. Achari, Generalized multi-valued contractions and fixed pointes, Rev.Roum, Math. Pures. Appl., 24 (1979), 179-182.
    5. Lj. Ciric, Fixed pointes for generalized multi-valued contractions, Mat.Vesnik., 9 (1972), 265-272.
    6. B. Fisher, Set-valued mappings on bounded metric spaces, Indian J. Pure.Appl. Math., 11 (1980), 8-20.
    7. B. Fisher, Common fixed points of mappings and ser-valued mapping on metric space, Kyugpook Math. J., 25 (1985), 35-42.
    8. T. Kita, A common fixed point theorem for multivalued mappings, Math.Japon., 22 (1977), 113-116.
    9. T. Kubiak, Fixed point theorems for contractive type multivaled mappings,Math. Japon., 30 (1985), 89-101.
    10. B. K. Ray, On Ciric’s fixed point theorem, Fund. Math., 94 (1977), 221-229.
    11. K. L. Singh and J. H. M. Whitfield, Fixed points for contractive type multivalued mappings, Math. Japon., 27 (1982), 117-124.
    12. S. V. R. Naidu and J. Rajendra Prasad, Fixed point theorem for set-valued maps on a metric space, Indian J. Pure Appl. Math., 17 (1986), 286-307.
    13. M. S. Khan and M. Imdad, A common fixed point theorem for a class of mappings, Indian J. Pure Appl. Math., 14 (1983), 1220-1227.
    14. G. Jungck, Compatible mappings and common fixed points, Internat. J. Math.and Math. Sci., 9 (1986), 771-779.
    15. C. L. Yen, On common fixed points II, Tamkang J. Math., Tamkang College of Art and Sci., 1 (1973), 57-60.

    無法下載圖示 全文公開日期 本全文未授權公開 (校內網路)
    全文公開日期 本全文未授權公開 (校外網路)

    QR CODE