跳到主要內容

臺灣博碩士論文加值系統

(216.73.216.180) 您好!臺灣時間:2026/10/15 20:51
字體大小: 字級放大   字級縮小   預設字形  
回查詢結果 :::

詳目顯示

: 
twitterline
研究生:林素貞
研究生(外文):Su-chin Lin
論文名稱:在MENGER空間上的固定點定理
論文名稱(外文):A FIXED POINT THEOREM IN MENGER SPACES
指導教授:張東輝張東輝引用關係
學位類別:碩士
校院名稱:國立新竹教育大學
系所名稱:進修部數理教育碩士班(數學組)
學門:教育學門
學類:普通科目教育學類
論文種類:學術論文
論文出版年:2003
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:
  • 被引用被引用:0
  • 點閱點閱:215
  • 評分評分:
  • 下載下載:5
  • 收藏至我的研究室書目清單書目收藏:0
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.
QRCODE
 
 
 
 
 
                                                                                                                                                                                                                                                                                                                                                                                                               
第一頁 上一頁 下一頁 最後一頁 top
無相關論文