簡易檢索 / 詳目顯示

回結果列表
研究生： 陳榴明
論文名稱： 在MENGER空間上多值函數的公共固定點定理
COMMON FIXED POINT THEOREM FOR SET-VALUED MAPPINGS IN MENGER SPACES
指導教授： 張東輝
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： MENGER空間 、多值函數 、公共固定點定理
外文關鍵詞： MENGER SPACES, SET-VALUED MAPPINGS, FIXED POINT THEOREM
相關次數： 點閱：4  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

    • 這一篇論文主要探討在MENGER空間上具有 -收縮多值函數的公共固定點定理。

    In this paper, we shall prove a common fixed point theorem in probabilistic metric space of set-valued functions with　-contractive condition, which generalize some results of V.M. Sehgal & A.T. Bharucha-Reid [12].

    1. INTRODUCTION-----------------------1 2. DEFINITIONS AND PRELIMINARIES------1 3. MAIN RESULT------------------------3 4. REFERENCES------------------------11

    1.G.L.Cain, Jr. and R. H. Kasriel, Fixed and periodic points of local contraction mapping on probabilistic metric space, Math. Systems Theory, 9(1976), 289-297.
    2.K. P. Chamola, Fixed points of mappings satisfying a new contraction condition in random normed space, Math. Japan, 33(6)(1988), 821-825.
    3.T. H. Chang, Fixed point theorems for contractive type set-valued mappings, Math, Japan, 38(1993), 675-690.
    4.T. H. Chang, Common fixed point theorems in Menger spaces, Bull.InstMath.Acad.Sinica 22, (1994), 17-29.
    5.R. Dedeid and N, Sarapa, On fixed point theorems for commuting mappings on Menger spaces, Radovi Matematicki, 4(1988), 269-278.
    6.R. Dedeic and N. Sarapa, A common fixed point theorem for three mappings on Menger space, Math, Japan, 6(1989), 919-923.
    7.O. Hadzic, Some theorems on the fixed points in probabilistic metric and random normed space, Boll.Un. Mat. Ital. 6(1982), 381-391.
    8.I. Istratescu, Fixed point theorems for some classes of contraction mappings on a nonarchimedean probabilistic metric space, Publ. Math. T. 25(1978), 29-34.
    9.Jungck, Compatible mappings and common fixed points, Internat. J. Math. & Math. Sci, 9(1986), 771-779.
    10.K, Menger, Statistical metrics, Proc. Nat. Acad. Sci. U.S.A. 28(1942), 535-537.
    11.B. Schweizer and A. Sklar, Statistical metric spaces, Pacific J, Math, 10(1960), 313-334.
    12.V. M. Sehgal and A. T. Bharucha-Reid, Fixed points of contraction mappings on probabilistic metric spaces, Math, Systems Theory, 6(1972), 97-102.
    13.S. L. Singh, S. N. Mishra and B. D. Pant, General fixed point theorems in probabilistic metric and uniform spaces, Indian J. Math, 29(1987), 81-85.
    14.S. L. Singh, and B. D. Pant, Common fixed points of a family of mappings in Menger and uniform spaces, Riv. Mat. Parma, 14(1988), 81-85.
    15.S. L. Singh and B. D. Pant, Coincidence and fixed point theorems for a family of mappings on Menger space and extension to uniform spaces, Math. Japan. 33(1988), 957-973.
    16.M. Stojakovic, fixed point theorems probabilistic metric spaces, Kobe J. Math, 2(1985),1-9.
    17.M. Stojakovic, Common fixed point theorems in complete and probabilistic metric spaces, Bull. Austral. Math. Soc, 36(1987), 73-88.
    18.M. Stojakove, A common fixed point theorems in probabilistic metric spaces and its applications, Glasnik Math, 23(43)(1988), 203-211.

    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