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研究生： 陳泓睿
Chen, Hung-Jui
論文名稱： 透過非緊緻測度滿足F(ψ,ξ)函數在KKM性質下之定點理論
The fixed point results for the F(ψ,ξ)- contraction having KKM property via measure of noncompactness
指導教授： 陳正忠
Chen, Jeng-Chung
口試委員: 陳啟銘
Chen, Chi-Ming
施信宏
Shih, Sin-Hong
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： 14
中文關鍵詞： 定點理論 、Meir-Keeler 方程式 、KKM 定理 、度量空間
外文關鍵詞： Fixed point, Meir-Keeler function, KKM property, Metric space
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    • 這篇論文主要在探討透過非緊緻測度滿足F(ψ,ξ)函數在KKM性質下之定點
    理論，文章前半段先討論KKM與測度的定義，接續著介紹定點的概念，進而討
    論透過改變空間和連續性或是緊緻與否來測試，最後再由定義得出結論，並且
    於第三部分提出應用。

    This article is mainly to explore the fixed point results for the F(ψ,ξ)-contraction having KKM property via measure of noncompactness. First we talk about KKM property and measure of noncompactness and then introduce the Fixed point. Then discuss it is correct or not after we change the property，and we obtain the conclusion. Moreover, we have an application in the third part.

    Contents 中文摘要......I Abstract......II Acknowledgement ......III 1.Introduction and preliminaries......1 2.Main results......5 3.Applications: The abstract variational inequality theroems......10 References......13

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