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研究生： 王裕成
Wang, Yu-Cheng
論文名稱： 具KKM性質之𝑅函數型𝜓集合收縮的固定點定理
Fixed point theory for the 𝑅-funtion type 𝜓-set contractions having KKM property
指導教授： 陳正忠
Chen, Jeng-Chung
口試委員: 施信宏
Shih, Hsin-Hung
陳啟銘
Chen, Chi-Ming
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： 2019
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 point, KKM family, 𝑅-function
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    • 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

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