研究生: |
林雅婷 Ya-Ting Lin |
---|---|
論文名稱: |
在四邊形錐度量空間上的公共固定點定理 A Common Fixed Point Theorem in Cone Rectangular Metric Spaces |
指導教授: |
張東輝
Tong-Huei Chang 陳啟銘 Chi-Ming Chen |
口試委員: | |
學位類別: |
碩士 Master |
系所名稱: |
南大校區系所調整院務中心 - 應用數學系所 應用數學系所(English) |
論文出版年: | 2010 |
畢業學年度: | 98 |
語文別: | 中文 |
論文頁數: | 11 |
中文關鍵詞: | 四邊形錐度量空間 、公共固定點 |
外文關鍵詞: | cone rectangular metric space, common fixed point |
相關次數: | 點閱:3 下載:0 |
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摘要
ˉˉ在本文中,我們首先介紹函數phi滿足(CBW)條件,然後證明一個在四邊形錐度量空間上的公共固定點定理。
Abstract
In this paper, we first introduce the function phi which satisfies the condition (CBW), and then prove a common fixed point theorem in a cone rectangular metric space.
References
[1] A. Azam, M, Arshad and I. Beg, Banach contraction principle on cone rectangular metric spaces, Appl. Anal. Discrte Math.to appear.
[2] A. Branciari, A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen57 1-2(2000), 31-37.
[3] L. Ciric. Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces. Nonlinear Analysis 72(2010), 2009-2018.
[4] L. G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. appl.332(2007), 1468-1476.
[5] M. Jleli and B. Samei, The Kannan’s fixed point theorem in a cone rectangular metric space, J. Nonlinear Sci. Appl.2(2009) No.3 161-167.
[6] F. Sabetghadam, H.p. Masiha, Common fixed points for generalized phi-pair mappings on cone metric spaces, Fixed point theory and Appl.2010(2010), 8 pages, Article Id 718340.