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研究生:謝安朋
研究生(外文):XIE,AN-PENG
論文名稱:關於MT-函數的新收斂定理
論文名稱(外文):New convergence theorems for MT-functions
指導教授:林英哲林英哲引用關係
口試委員:林英哲杜威仕陳啟銘
口試委員(外文):Wei-Shih Du
口試日期:2020-06-22
學位類別:碩士
校院名稱:國立高雄師範大學
系所名稱:數學系
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2020
畢業學年度:108
語文別:中文
論文頁數:29
中文關鍵詞:MT函數度量空間收斂定理循環映射
外文關鍵詞:MT -functionmetric spaceconvergence theoremcyclic mapping
相關次數:
  • 被引用被引用:0
  • 點閱點閱:183
  • 評分評分:
  • 下載下載:7
  • 收藏至我的研究室書目清單書目收藏:0
藉由使用MT函數並研究新的非線性循環映射,我們造出度量空間上的一些收斂定理。
By using an MT -function and explore new nonlinear cyclic mappings, we estab-
lish some convergence theorems on metric spaces.
Contents
1. Introduction and preliminaries                         1
2. Main results                                                   6
Reference                                                        24
[1] A. Abkar, S. Ghods, A. Azizi, Coupled best proximity point theorems for prox-
imally g-Meir-Keeler type mappings in partially ordered metric spaces, Fixed
Point Theory and Applications 2015, 2015:107.
[2] N. Bilgili, E. Karapinar, K. Sadarangani, A generalization for the best proximity
point of Geraghty-contractions, Journal of Inequalities and Applications 2013,
2013:286.
[3] J, Caballero, J. Harjani, K. Sadarangani, A best proximity point theorem for
Geraghty-contractions, Fixed Point Theory and Applications 2012, 2012:231.
[4] W.-S. Du, Some new results and generalizations in metric xed point theory,
Nonlinear Analysis: Theory, Methods and Applications 73 (2010) 1439-1446.
[5] W.-S. Du, New cone xed point theorems for nonlinear multivalued maps with
their applications, Applied Mathematics Letters 24 (2011) 172-178.
[6] W.-S. Du, On coincidence point and xed point theorems for nonlinear multi-
valued maps, Topology and its Applications 159 (2012) 49-56.
[7] W.-S. Du, On generalized weakly directional contractions and approximate xed
point property with applications, Fixed Point Theory and Applications 2012,
2012:6.
[8] W.-S. Du, F. Khojasteh, Y.-N. Chiu, Some generalizations of Mizoguchi-Takahashi's
xed point theorem with new local constraints, Fixed Point Theory and Appli-
cations, 2014, 2014:31.
[9] A.A. Eldered, P. Veeramani, Convergence and existence for best proximity
points, Journal of Mathematical Analysis Applications, 323(2) (2006) 1001-
1006.
[10] Z. He, W.-S. Du, I.-J. Lin, The existence of xed points for new nonlinear
multivalued maps and their applications, Fixed Point Theory and Applications
2011, 2011:84.
[11] E. Karapinar, Best proximity points of cyclic mappings, Applied Mathematics
Letters 25 (2012) 1761-1766.
[12] P.S. Kumari, D. Panthi, Cyclic contractions and xed point theorems on various
generating spaces, Fixed Point Theory and Applications (2015) 2015:153.
[13] E. Karapinar, _I. M. Erhan, Best proximity points on dierent type contractions,
Applied Mathematics and Information Sciences, 5(3) (2011) 558-569.
[14] P. Kumam, V. Pragadeeswarar, M. Marudai, K. Sitthithakerngkiet, Coupled
best proximity points in ordered metric spaces,Fixed Point Theory and Appli-
cations 2014, 2014:107.
[15] W.A. Kirk, P. S. Srinavasan, P. Veeramani, Fixed points for mapping satisfying
cyclical contractive conditions, Fixed Point Theory, 4(1) (2003) 79-89.
[16] I.-J. Lin, Y.-L. Chang, Some new generalizations of Karapinar's theorems, In-
ternational Journal of Mathematic Analysis 8 (2014) 957-966.
[17] I.-J. Lin, C.-H. Chang, The study of generalizations of Lin-Chang's convergence
theorems, International Journal of Mathematical Analysis 9(54) (2015) 2649-
2658.
[18] I.-J. Lin, H. Lakzian, Y. Chou, On convergence theorems for nonlinear mappings
satisfyingMT-C conditions, Applied Mathematical Sciences, 6(67) (2012) 3329-
3337.
[19] I.-J. Lin, H. Lakzian, Y. Chou, On best proximity point theorems for new cyclic
maps, International Mathematical Forum 7(37) (2012) 1839-1849.
[20] I.-J. Lin, Y.-J. Lin, S.-D. Hou, Some new best proximity point theorems and
convergence theorems for MT-functions, Nonlinear Analysis and Dierential
Equations 4(4) (2016) 189-198.
[21] C. Mongkolkeha, W. Sintunavarat, Best proximity points for multiplicative
proximal contrac-tion mapping on multiplicative metric spaces, J. Nonlinear
Sci. Appl., 8 (2016), 1134-1140.
[22] A. Ninsri, W. Sintunavarat, Toward a generalized contractive condition in par-
tial metric spaces with the existence results of xed points and best proximity
points, Journal of Fixed Point Theory and Applications, 20, 2018.
[23] S. Sadiq Basha, N. Shahzad, Common best proximity point theorems: Global
mini-mization of some real-valued multi-objective functions, Journal of Fixed
Point Theory and Applications, 18 (3), 587-600, 2016.
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