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 |
相關次數: | 點閱:47 下載:0 |
分享至: |
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
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] B. Ahmad, and A.Kharal. On Fuzzy soft sets, Advances in fuzzy systems 1-6(2009).
[2] M.I. Ali, F. Feng, X. Liu, W.K. Min and M. Shabir, On some new operations in soft set theory, Comput. Math. Appl., 57(2009), 1547–1553.
[3] K.V. Babitha, J.J. and Sunil. Soft set Relations and functions, Computers and mathematics with applications, 60(2010), 1840-1849.
[4] K.V. Babitha, J.J. and Sunil.Transitive closure and ordering on soft sets, Computers and mathematics with applications. 61(2011), 2235-2239.
[5] P.K. Maji, R.Biswas, and A.R.Roy, Soft set theory, Comput. Math. Appl., 45(2003), 555–562.
[6] A. Meir and E. keeler, A theorem on contraction mappings. J. Math. Anal. appl. 28(1969), 326-329
[7] D.A. Molodtsov, Soft set theory - first results, Comput. Math. Appl., 37(1999), 19–31.
[8] I.A. Onyeozili, T.M. Gwary, A Study Of The Fundamentals Of Soft Set Theory(2014)
[9] M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl., 61(2011), 1786–1799.
[10] D. Sujoy and S. K. Samanta, Soft metric, Annals of Fuzzy Mathematics and Informatics, 6(1)(2013), 77–94.15
[11] D. Sujoy and S. K. Samanta, On soft metric spaces, J. Fuzzy Math, Vol.21 No.3 2013, 707-734.
[12] D. Sujoy and S. K. Samanta, Soft real sets, soft real numbers and their properties, J.Fuzzy Math, 20(3) (2012) 551-576.
[13] D. Wardowski, On a soft mapping and its fixed points, Fixed Point Theory Appl.,(2013) 2013:182.
[14] C.F. Yang A note on soft set theory Comput. Math. Appl., 56 (2008), 1899-1900.