帳號:guest(52.14.2.251)          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):王裕成
作者(外文):Wang, Yu-Cheng
論文名稱(中文):具KKM性質之𝑅函數型𝜓集合收縮的固定點定理
論文名稱(外文):Fixed point theory for the 𝑅-funtion type 𝜓-set contractions having KKM property
指導教授(中文):陳正忠
指導教授(外文):Chen, Jeng-Chung
口試委員(中文):施信宏
陳啟銘
口試委員(外文):Shih, Hsin-Hung
Chen, Chi-Ming
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:210524213
出版年(民國):108
畢業學年度:107
語文別:英文
論文頁數:11
中文關鍵詞:固定點KKM族群R函數
外文關鍵詞:fixed pointKKM family𝑅-function
相關次數:
  • 推薦推薦:0
  • 點閱點閱:84
  • 評分評分:*****
  • 下載下載:0
  • 收藏收藏:0
這篇論文主要在研究KKM族群的固定點理論,這裡的KKM族群是滿足在度量空間底下的非緊緻測度下R函數形式的𝜓集收縮,我們推廣與進一步證明一些最近的固定點理論。
The purpose of this paper is to study fixed points for the KKM family satisfying the 𝑅-funtion type 𝜓-set contractions with respect to the set measure σp of noncompactness in the context of metric spaces. Our results generalize or improve many recent fixed point theorems for the KKM family in the literature.
Contents
1. Introduction and preliminaries……………………3
2. Main results……………………………………………………………………6
3. References…………………………………………………………………………9
A. Amini, M. Fakhar, J. Zafarni, KKM mappings in metric spaces,
Nonlinear Anal.,60(2005) 1045 V1052.

A.H. Ansari, Note on (𝜓,𝜑)-contractive type mappings and related fixed point. In: The 2nd Regiobal Conference on Mathematics and Application, PNU, September 2014,, (2014) 377-380.

S. Banach, Sur les operations dans les ensembles absraites et leurs applications, Fund. Math., 3 (1926) ,133-181

T.H. Chang, C.L. Yen, KKM property and fixed point theorems,
J. Math. Anal. Appl., 203, (1996) 224--235.

C.M Chen, Fixed point theorems for a k-set contraction in a metric space,Applied Mathematics Letters, 22,(2009) 101 V104.

C.M Chen, Tong-Huei Chang, Fixed Point Theorems for a weaker Meir-Keeler Type 𝜓-Set Contraction in Metric Spaces,Fixed Point Theory and Appl., ,(2009) Article ID 129124.

G. Darbo, Punti uniti in trasformazioni a codominio non compatto,
Rend. Sem. Mat.Univ. Padova, 24 (1955) , 84-92.

W.-S. Du, On coincidence point and fixed point theorems for nonlinear multivalued maps,Topology and Applications, 159(2012), 49--56.

B. Knaster, C. Kuratowski, S. Mazurkiewicz, Ein Beweis des Fixpunksatzes fur n-dimensionale Simplexe, Fund. Math., 14 (1929) 132 V137.

Ky Fan, A generalization of Tychonoff s fixed point theorem,
cMath. Ann., 142 (1961) 305V310.

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

Fixed point theorems for multivalued mappings on complete metric spaces, J. Math. Anal. Appl., 141(1989),177V188.

R. Nussbaum, The fixed point index and fixed point theorems for k-set contractions, Doctoral Dissertation, University of Chicago, 1969.

M.S. Khan, M. Swaleh, S. Sessa,: Fixed point theorem by altering distances between the points, Bull. Aust. Math. Soc., 30(1)1984, 1-9.

Farzazneh Nikbakhtsarvestani, S Mansour Vaezpour, Mehdi Asadi, F(𝜓,𝜑)-contraction in terms of measure on noncompactness with application for nonlinear integral equations, J. Inequalities and Applications(2017), 271.

P.M. Fitzpatrick, W.V. Petryshyn, Fixed point theorems for multivalued noncompact inward mappings, J. Math. Anal. Appl. 64(1974), 756-767.
 
 
 
 
第一頁 上一頁 下一頁 最後一頁 top
* *