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研究生： 林素貞
Su-chin Lin
論文名稱： 在MENGER空間上的固定點定理
A FIXED POINT THEOREM IN MENGER SPACES
指導教授： 張東輝 博士
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： 英文
論文頁數： 9
中文關鍵詞： Menger空間 、多值函數 、固定點定理
外文關鍵詞： Menger space, set-valued mapping, fixed point theorem
相關次數： 點閱：3  下載：0 
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    • 在本篇論文中，我們證明一個在Menger空間((X, □, t)上Hausdorff 收縮型多值函數的固定點定理。

    In this paper, we prove a fixed point theorem for set-valued mapping from a Menger space (X, □, t) into K(X) with a contractive condition. This fixed point theorem is a new result about Hausdorff measure on Menger space.

    Contents 1. Introduction 1 2. Definitions and preliminaries 1 3. Main results 4 4. References 8

    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. Japon., 33(6)(1988), 821-825.
    3. T. H. Chang, Fixed point theorems for contractive type set-valued mappings, Math, Japon., 38(1993), 675-690.
    4. T. H. Chang,Common fixed point theorems in Menger spaces, Bull. Inst. Math. Acad. Sinica,22(1994),17-29.
    5. R. Dedeic 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, Japon, 6(1989), 919-923.
    7. O. Hadzic, Some theorems on the fixed points in probabilistic metric and random normed spaces, 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. Japon., 33(1988), 957-973.
    16. S. Singh, B. Watson, and P. Srivastava, Fixed Point Theory and Best Approximation: The KKM-map Principle, Kluwer Academic Publishers, 1997.
    17. M. Stojakovic, Fixed point theorems probabilistic metric spaces, Kobe J. Math., 2(1985),1-9.
    18. M. Stojakovic, Common fixed point theorems in complete and probabilistic metric spaces, Bull. Austral. Math. Soc., 36(1987), 73-88.
    19. M. Stojakovic, A common fixed point theorems in probabilistic metric spaces and its applications, Glasnik Math., 23(43)(1988), 203-211.

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