帳號:guest(216.73.216.146)          離開系統
字體大小: 字級放大   字級縮小   預設字形  

詳目顯示

以作者查詢圖書館館藏以作者查詢臺灣博碩士論文系統以作者查詢全國書目
作者(中文):楊鴻罄
作者(外文):Yang, Hung-Ching
論文名稱(中文):廣義循環弱梅厄基厄收縮型函數的定點理論
論文名稱(外文):Fixed Point Theorems via the generalized cyclic weaker Meir-Keeler-type contractions
指導教授(中文):陳啟銘
指導教授(外文):Chen, Chi-Ming
口試委員(中文):林英哲
陳正忠
口試委員(外文):Lin, Ing-Jer
Chen, Jeng-Chung
學位類別:碩士
校院名稱:國立清華大學
系所名稱:應用數學系所
學號:210424212
出版年(民國):106
畢業學年度:105
語文別:英文
論文頁數:21
中文關鍵詞:準度量空間梅厄基厄定點理論
外文關鍵詞:fixed pointmetric likeWeaker Meir-Keeler
相關次數:
  • 推薦推薦:0
  • 點閱點閱:99
  • 評分評分:*****
  • 下載下載:0
  • 收藏收藏:0
在我們這一篇文章中,我們使用廣義循環及弱梅厄基厄函數,並且把它使用在我們探討的空間準度量空間上,再從中去使用上述的定義及方程式,並且在準度量空間中,找出這一個函數是否有固定點。
In this study, by using the cyclic represtation and weaker Meir-Keeler type mappings, we establish the fixed theorems for the generalized cyclic weaker Meir-Keeler-type contractions that defined on a metric-like space X with a cyclic representation of X. Our results generalize and improve many recent fixed point theorems for the generalized cyclic contractive mappings in the literature.
摘要------- I
Abstract---- II
Introduction and Preliminaries---- 1
Main Results----- 6
References------- 15
[1] T. Abdeljawad, Fixed points for generalized weakly contractive mappings in partial metric spaces, Mathematical and Computer Modelling, 54(2011), no. 11-12, pp. 2923–2927.

[2] R.P. Agarwal, M.A. Alghamdi, N. Shahzad, Fixed point theory for cyclic generalized contractions in partial metric spaces, Fixed Point Theory and Appl., (2012), 2012.40.

[3] I. Altun, A. Erduran, Fixed point theorems for monotone mappings on partial metric spaces, Fixed Point Theory and Appl., (2011), Article ID 508730, 10 pages, 2011.

[4] A Amini-Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory and Appl., (2012), Article ID 2012, 2012:204.

[5] H. Aydi, Fixed point results for weakly contractive mappings in ordered partial metric spaces, Journal of Advanced Mathematical Studies, 4(2011), no. 2, pp. 1V12.

[6] S. Banach, Sur les op´erations dans les ensembles abstraits et leur application aux ´equations int´egrales, Fund. Math. 3 (1922) 133–181.

[7] K. P. Chi, E. Karapinar, T. D. Thanh, A generalized contraction principle in partial metric spaces, Mathematical and Computer Modelling, 55(2012),no. 5-6, pp. 1673V1681.

[8] E. Karapinar, Generalizations of Caristi Kirks theorem on partial metric spaces, Fixed Point Theory and Applications, vol. 2011, article 4, 2011.

[9] E. Karapinar, I.M. Erhan, Fixed point theorem for cyclic maps on partial metric spaces, Appl. Math. Inf. Sci., 6 (2012), 239-244.

[10] E. Karapinar, P. Salimi, Dislocated metric space to metric spaces with some fixed point theorems, Fixed Point Theory and Appl., (2013), 2013:222

[11] W.A. Kirk, P.S. Srinivasan, P. Veeramani, Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory, Vol.4 NO.1 (2003), 79-89.

[12] S.G. Mattews, Partial metric topology, Proc. 8th Summer of Conference on General Topology and Applications, Ann. New York Aced. Sci., 728 (1994) 183–197.

[13] A. Meir, E. Keeler, A theorem on contraction mappings, J. Math. Anal.Appl., 28(1969), 326-329.

[14] S. Oltra, O. Valero, Banach’s fixed point theorem for partial metric spaces,Rend. Istid Math. Univ. Trieste, 36 (2004) 17-26.

[15] I.A. Rus, Cyclic representations and fixed points, Ann. T. Popoviciu, Seminar Funct. Eq. Approx. Convexity, 3 171–178 (2005)
(此全文未開放授權)
電子全文
中英文摘要
 
 
 
 
第一頁 上一頁 下一頁 最後一頁 top
* *