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研究生:羅錫康
論文名稱:在完備推廣型度量空間上的公共固定點定理
論文名稱(外文):A Common Fixed Point Theorem in Complete G-Metric Spaces
指導教授:張東輝張東輝引用關係陳啟銘
指導教授(外文):Tong-Huei ChangChi-Ming Chen
學位類別:碩士
校院名稱:國立新竹教育大學
系所名稱:應用數學系碩士班
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2010
畢業學年度:98
語文別:英文
論文頁數:9
中文關鍵詞:推廣型度量空間公共固定點同值點
外文關鍵詞:G-metric spaceCommon fixed poinCoincidence point
相關次數:
  • 被引用被引用:0
  • 點閱點閱:151
  • 評分評分:
  • 下載下載:2
  • 收藏至我的研究室書目清單書目收藏:0
在本篇論文中,我們證明了在擁有CBW的條件下,兩個單值函數在完備的推廣型度量空間中具有同值點。我們同時也證明了,如果這兩個函數在他們的同值點上是可交換的,則有公共固定點。
In this paper, we prove some coincidence points for mapping satisfying (CBW) conditions on complete G-Metric Spaces, also we showed if mappings f and g are commute at their coincidence points, then they have a common fixed point result.
誌謝----------------------------------------------------I
中文摘要-------------------------------------------------III
英文摘要-------------------------------------------------IV
目錄----------------------------------------------------V
INTROCTION AND PRELIMINARIES----------------------------1
MAIN RESULTS--------------------------------------------5
REFRENCES-----------------------------------------------10

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[2] Ljubomir Ciric, Nenad Cakic Miloje Rajovic, and Jeong Sheok Ume, "Monotone Genwealized Nonlinear Contractions in Partially Order Metric Spaces," Fixed Point Theory and Applications. Vol. 2008, 2008.
[3] Ljubomir Ciric, "Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces," Nonlinear Analysis: Theory, Methods and Applications. Vol. 72, no. 3-4, pp. 2009-2018, 2010.
[4] S. Gahler, "2-metrische Raume und topologische Struktur," Mathematusche Nachichten. Vol. 26, no.1-4, pp. 115-148, 1963.
[5] S. Gahler, "Zue geometric 2-metriche raume," Revue Roumaine de Mathematiquew Pure et Appliquees. Vol. 11, pp. 665-667, 1966.
[6] B. C. Dhage, "Generalised metric spaces and mappings with fixed point," Bulletin of the Calcutta Mathematical Society. Vol. 84, no. 4, pp. 320-336, 1992.
[7] B. C. Dhage, "Generalised metric spaces and topological structure. I," Analele Stiintifice ale Universitatii Al. I. Cuza din lasi. Serie Noua. Mathematica. Vol. 46, no. 1, pp. 3-24, 2000.
[8] K.S. Ha, Y.J. Cho, and A. White, "Strictly convex and strictly 2-convex 2-normed
spaces," Mathematica japonica, Vol. 33, no.3, pp. 357-384, 1988.
[9] Z. Mustafa and B. Sims, "Some remarks concerning D-metric spaces," in Proccedings of the International Conference on Fixed Point Theory and Applications. pp. 189-198, Valencia, Spain, July 2004.
[10] Z. Mustafa and B. Sims, "A new approach to generalized metric spaces," Journal of Nonlinear and Convex Analysis. Vol. 7, no. 2, pp. 289-297, 2006.
[11] Z. Mustafa and B. Sims, "A new structure for generalized metric spaces-with applications to fixed point theory," Ph.D. thesis, The University of Newcastle, Callaghan, Australia, 2005.
[12] Z. Mustafa and B. Sims, "Fixed point theorems for contractive mappings in complete G-metric spaces," Fixed Point Theory and Applications, Vol. 2009, 2009.





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