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研究生:張豊傑
研究生(外文):CHANG.LI-CHIEH
論文名稱:在緊緻MENGER空間上的公共固定點定理
論文名稱(外文):A COMMON FIXED POINT THEOREM IN COMPACT 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:國立新竹師範學院
系所名稱: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:8
中文關鍵詞:公共固定點
外文關鍵詞:common fixed point
相關次數:
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本論文主要證明一個在緊緻Menger空間上的收縮型公共固定點定理,這個定理推廣了一些在度量空間上的收縮型公共固定點定理。

In the paper we prove a contractive type common fixed point theorem for four self-mappings in a Menger space( F, ). This theorem in fact extends some results of common fixed point theorems for the case that X is a metric space.

1.INTRODUCTION.........................1
2.DEFINITIONS AND PRELIMINARIES........1
3.MAIL RESULT..........................3
4.REFERENCES...........................7

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3. Tong-Huei Chang, Fixed point theorems for contractive type set-valued mappings, Math. Japonica 38, No. 4(1993),675-690.
4. Tong-Huei Chang, Common fixed point theorems in Menger spaces, Bulletin of the Institute of Mathematics Academia Sinica Volume 22, Number 1, (1994), 17-29
5. R. Dedeic and N. Sarape, On fixed point theorems for commuting mappings on Menger space , Radovi Matematicki, 4 (1988), 269-278.
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28(1942), 535-537.
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theorems in probabilistic metric and uniform space, Indian J. Math., 29(1987), 9-12.
12. S. L. Singh and B. D. Pant, common fixed points of a family of mappings in Menger and uniform spaces, Riv. Mat. Univ. Parma, 14(1988), 81-85.
13. S. L. Singh and B. D. Pant, Coincidence and fixed point theorems for a family of mappings on Menger spaces and extension to uniform spaces, Math. Japon., 33(1988), 957-973.
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15. M. Stojakovic, common fixed point theorems in complete and probabilistic metric spaces, Bull. Austral. Math. Soc., 36(1987), 73-88.
16. M. Stojakovic, A common fixed point theorems in probabilistic metric spaces and its application, Glasnik Math., 23(43) (1988), 203-211.

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