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作者(中文):徐志豪
作者(外文):Xu, Zhi-Hao
論文名稱(中文):軟比較收縮函數的軟不動點定理
論文名稱(外文):Soft fixed point theorems for the soft comparable contractions
指導教授(中文):陳啟銘
指導教授(外文):Chen, Chi-Ming
口試委員(中文):杜威仕
李俊璋
口試委員(外文):Du, Wei-Shih
Lee, Chiun-Chang
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:108026507
出版年(民國):110
畢業學年度:109
語文別:英文
論文頁數:19
中文關鍵詞:軟度量空間軟不動點軟下確界可比收縮軟可比米爾基勒收縮
外文關鍵詞:Soft metric spaceSoft fixed pointSoft infimum comparable contractionSoft comparable Meir Keeler contraction
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在這一篇論文裡,我們在軟度量空間簡介了兩種軟可比較函數。除此之外,我們也證明了兩個軟不動點定理,它保證了這兩種可比收縮型映射的軟不動點的存在得到的結果不僅概括也統一了文獻中許多最近的軟不動點的結果 。
In this article, we introduce the notions of soft infimum comparable contraction and soft comparable Meir Keeler contraction in a soft metric space. Furthermore, we prove two soft fixed point theorems which assure the existence of soft fixed points for these two types of comparable contractions. The obtained results not only generalize but also unify many recent soft fixed point results in the literature.
Abstract i
Acknowledgements ii
Contents iii
1 Introduction and preliminaries 1
2 Soft fixed points for the soft infimum comparable contraction 6
3 Soft fixed points for the soft comparable Meir Keeler contraction 12
References 18
𝐑𝐞𝐟𝐞𝐫𝐞𝐧𝐜𝐞𝐬
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