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研究生： 黃曰鴻
論文名稱： 在抽象凸空間中殆S − KKM 函數集的近似固定點定理
Approximate Fixed Point Theorem For The Class Almost S − KKM Mappings In Abstract Convex Spaces
指導教授： 張東輝
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： 2008
畢業學年度： 97
語文別： 中文
論文頁數： 17
中文關鍵詞： 殆S-KKM 性質 、殆凸 、抽象凸空間 、Φ-空間 、近似固定點 、固定點定理
外文關鍵詞： almost S-KKM property, almost convex, Abstract convex spaces, Φ- spases, Approximate fixed point, fixed point theorem
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    • 在本篇論文裡，我們用了抽象凸性質的概念，定義殆S-KKM性質,al-S-KKM(X,Y,Z)函數族，和殆Φ-空間。 我們得到一些殆 Φ-空間裡的新近似固定點定理和固定點定理。 我們的結果延伸運用到其他作者的一些結果。

    In this paper, we use the conception of the abstract convexity to define the almost S-KKM property, al-S-KKM(X,Y,Z)family, and almost Φ-spaces. We get some new approximate fixed point theorems and fixed point theorems in almost Φ-spaces. Our results extend some results of other authors.

    1. INTRODUCTION 2. PRELIMINARIES AND DEFINITIONS 3. MAIN RESULTS 4. REFERENCES

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