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作者(中文):李馥妤
作者(外文):Lee, Fu-Yu
論文名稱(中文):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
論文名稱(外文):Random fixed point theorems for sup-comparable and inf-comparable contraction
指導教授(中文):陳啟銘
指導教授(外文):Chen, Chi-Ming
口試委員(中文):李俊璋
陳中川
口試委員(外文):Lee, Chiun-Chang
Chen, Chung-Chuan
學位類別:碩士
校院名稱:國立清華大學
系所名稱:計算與建模科學研究所
學號:108026502
出版年(民國):112
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 theoremssup-comparable contractioninf-comparable contractionRandom fixed pointcontraction
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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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