最小上界比較與最大下界比較收縮映射之隨機不動點定理

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研究生：	李馥妤 Lee, Fu-Yu
論文名稱：	最小上界比較與最大下界比較收縮映射之隨機不動點定理 Random fixed point theorems for sup-comparable and inf-comparable contraction
指導教授：	陳啟銘 Chen, Chi-Ming
口試委員:	李俊璋 Lee, Chiun-Chang 陳中川 Chen, Chung-Chuan
學位類別：	碩士 Master
系所名稱：	理學院 - 計算與建模科學研究所 Institute of Computational and Modeling Science
論文出版年：	2023
畢業學年度：	111
語文別：	英文
論文頁數：	20
中文關鍵詞：	隨機不動點、收縮映射、最小上界、最大下界、隨機不動點定理
外文關鍵詞：	Random fixed point theorems, sup-comparable contraction, inf-comparable contraction, Random fixed point, contraction
相關次數：	點閱：2 下載：0
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在這篇論文中,我們探討關於在隨機度量空間中的隨機不動點,藉由最小上界比較收縮映射的函數,和最大下界比較收縮映射的函數,證明了隨機不動點的存在定理。我們的結論推廣文獻中的不動點定理。

In this paper, we discuss about random fixed points in random metric spaces, by sup-comparable contraction map, and inf-comparable contraction map, respectively proving the existence of a random fixed point.Qur results generalize fixed point theorems in the literature.

Contents
1 Introduction and Preliminaries..... 2
2 Rrandom fixed point theorem for the random sup-comparable contraction..... 4
3 Rrandom fixed point theorem for the random inf-comparable
contraction..... 8
4 Rrandom fixed point theorem for the random strict comparable
contraction..... 14
                                

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