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研究生: 林帛翰
Lin, Po-Han
論文名稱: 軟插值𝑄-MEIR-KEELER收縮型的軟不動點定理
SOFT FIXED POINT THEOREMS OF THE SOFT INTERPOLATIVE Q -MEIR-KEELER TYPE CONTRACTION
指導教授: 陳啟銘
Chen, Chi-Ming
口試委員: 陳中川
李俊璋
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: 15
中文關鍵詞: 軟度量空間軟不動點定理軟插植Q-Meir-Keeler收縮型函數
外文關鍵詞: Soft metric space, Soft fixed point theorem, soft interpolative Q-Meir-Keeler type contraction
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  • 在本論文中,我們引入了一種新的概念,即軟插值𝑄-Meir-Keeler軟度量空間中的收縮型函數。我們證明了軟不動點定理,它確保了軟插值𝑄-Meir-Keeler收縮型函數的軟定點存在。我們的結論推廣了參考文獻中的軟不動點結果。


    In this thesis, we introduce a new notion of soft interpolative
    𝑄-Meir-Keeler type contraction in soft metric spaces. We prove the soft fixed point theorems which assure the existence of soft fixed points for the type of soft interpolative 𝑄-Meir-Keeler type contr-action. Our results generalize many recent soft fixed point results in the literature.

    1. Introduction and Preliminaries..................2 2. Main results....................................6 References........................................14

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