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陳啟銘 Chi-Ming Chen

系所人員 Faculty - 專任教師

陳啟銘　Chi-Ming Chen
陳啟銘 教授 職　　稱 教授
最高學歷 國立台灣師範大學數學博士
學術領域 數學分析、泛函分析、定點理論
電　　話 分機5706
傳　　真 (03)5611228
辦 公 室 9616
電子郵件 ming@mail.nhcue.edu.tw
個人網頁 http://www.nhcue.edu.tw/~ming
經歷摘要

國立新竹教育大學應用數學系教授
國立新竹教育大學應用數學系副教授
國立新竹教育大學應用數學系助理教授
個　　人　　著　　作

【期刊論文】

  1. Some new fixed point theorems for a (ψ,ɸ)-pair Meir-Keeler type set-valued contraction map in complete metric spaces, Journal of Applied Mathematics, Vol. ,2011. Accepted [SCI].

  2. Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory and Applications, Vol.2011. Accepted [SCI].

  3. Common fixed point theorems of the asymptotic sequences in ordered cone metric spaces, Journal of Applied Mathematics, Vol. ,2011. Accepted [SCI].

  4. Common fixed point theorems for the stronger Meir-Keeler cone-type function in cone ball-metric spaces, (with T.H. Chang, K.S. Juang), Applied Mathematics Letters, Vol., 2011.Accepted [SCI].

  5. A common fixed point theorem of fuzzy maps in metric linear spaces (with J.S Liu) JP Journal of Applied Mathematics, Vol. ,2011. Accepted (竹教大認可期刊).

  6. Common fixed point theorems for contraction type mappings in partially ordered metric space (with C.J. Lin)Tamkang Journal of Mathematics, Vol. ,2011. Accepted(竹教大認可期刊).

  7. Common fixed point theorems for a weaker Meir-Keeler type function in cone metric spaces (with T.H. Chang), Applied Mathematics Letters, Vol.23, 1336-1341, 2010. [SCI] .

  8. A common fixed point theorem for the weaker Meir-Keeler type function (with T.H. Chang), Applied Mathematics Letters, Vol.23, 252-255, 2010. [SCI].

  9. Approximate fixed point theorems for the generalized Ψ-set contraction mappings on an almost Φ-space (with T.H. Chang, Y.H Huang), Applied Mathematics Letters, Vol.23, 152-155, 2010. [SCI].

  10. Fixed point theorems for the generalized Ψ-set contraction mapping on an abstract convex space, (with T.H. Chang) Taiwanese Journal of Mathematics, Vol.14, No.5, 2015-2025, 2010. [SCI].

  11. A common fixed point theorem for the Ψ-contractive mapping, (with T.H. Chang) Tamkang Journal of Mathematics, Vol.41, No.1, 25-30, 2010. (竹教大認可期刊).

  12. Generalized 2-gKKM property in a hyperconvex metric space and its applications, (with T.H. Chang, C.H. Chen) Nonlinear Analysis Theory, Methods & Applications, Vol.72, Issues 1, 50-56, 2009. [SCI]

  13. Fixed point theorems for a weaker Meir-Keeler type Ψ-set contraction in metric spaces, (with T.H. Chang) Fixed Point Theory and Applications, Vol.2009 (2009), 8 pages, [SCI]

  14. Approximate fixed point theorems for the class almost S-KKMc mappings in abstract convex uniform spaces, (with T.H. Chang, Y.H. Huang) Fixed Point Theory and Applications, Vol.2009 (2009), 7 pages, [SCI]

  15. Fixed point theorems for the Ψ-set contraction mapping on almost convex sets, Nonlinear Analysis Theory, Methods & Applications, Vol.71, Issues 7-8, 2600-2605, 2009. [SCI]

  16. The 2-KKM property and its applications in hyperconvex metric spaces, (with T.H. Chang) Nonlinear Analysis Theory, Methods & Applications, Vol .71, Issues 5-6, 1978-1984, 2009. [SCI]

  17. Fixed point theorems for a k-set contraction in a metric space, Applied Mathematics Letters, Vol.22, 101-104, 2009. [SCI]

  18. Coincidence theorems on nonconvex sets and its applications, (with T.H. Chang, C.W. Chung) Taiwanese Journal of Mathematics, Vol.13 No.2A, 501-513, 2009 [SCI]

  19. Some results for the family 2-gKKM (X,Y) and the Φ-mapping in hyperconvex metric spaces, (with T.H. Chang) Nonlinear Analysis Theory, Methods & Applications,Vol 69, No.8, 2533-2540, 2008. [SCI]

  20. Generalized KKM theorems on hyperconvex metric spaces with applications, (with T. H. Chang, H.C. Huang) Taiwanese Journal of Mathematics, Vol.12, No.9, 2363-2372, 2008 [SCI]

  21. Generalized 2-KKM theorems and its applications in hyperconvex metric spaces, (with T. H. Chang, J.H. Chang) Nonlinear Analysis Theory, Methods & Applications, Vol.69, No.4, 1145-1148, 2008. [SCI]

  22. Generalized KKM theorems on hyperconvex metric spaces and some applications, (with T. H. Chang, C.Y. Peng) Nonlinear Analysis Theory, Methods & Applications, Vol.69, No.2, 530-535, 2008. [SCI]

  23. Some results for the family KKM (X,Y) and the Φ-mapping, (with T.H. Chang) Journal of Mathe-matical Analysis and Applications, Vol.329, No.1, pp 92-101, 2007. [SCI] (2009 Impact Factor: 1.225).

  24. Coincidence Theorems, Generalized Variational Inequality Theorems and Minimax Inequality Theorems for the Φ-mapping on G-convex spaces, (with T.H. Chang and Y.P. Liao) Fixed Point Theory and Applications, Vol.2007 (2007), 13 pages [SCI]

  25. Common fixed point in Menger spaces, (with T.H. Chang) International Journal of Mathematics and Mathematical Sciences, Vol.2006 (2006), Article ID 75931, 15 pages.

  26. Fixed point theorems for a k-set contraction map on a nearly convex set, (with C.T Liu) International Mathematical Forum, Vol 2 No.27 pp 1329-1340, 2007.

  27. R-KKM theorems on L-convex spaces and its applications, Scientiate Mathematicae Japonicae, Vol 65 No 2 pp 195-207, 2007.

  28. KKM property and fixed point theorems in metric spaces, Journal of Mathematical Analysis and Applications, Vol 323 No 2 pp 1231-1237, 2006. [SCI]

  29. Some fixed point theorems on an almost G-convex subset of a locally G-convex space and its applications, Taiwanese Journal of Mathematics, Vol.10, No3, 797-805, 2006. [SCI]

  30. Fixed point theorems in Menger spaces, (with T.H. Chang) Advances in Mathematical Sciences and Applications, Vol.16, 133-139, 2006.

  31. R-KKM property and fixed point theorems, Far. East J. Math. Sci. 17(2), 245-259, 2005.

  32. Fixed-point theorems for the class Q(X,Y), (with C.L. Yen) International Journal of Mathematics and Mathematical Sciences, Issue.9, 1333-1338, 2005.

  33. G-KKM theorem on non-convex sets and its applications, The Journal of the Indian Mathematical Society, Vol. 72, Nos. 1-4, 43-51, 2005.

  34. Fixed point theorems for the closed inward maps, Far. East J. Math. Sci. 15(2), 243-253, 2004.

  35. H-S-KKM theorems and its applications, (with T.H. Chang) Far. East J. Math. Sci. 14(3), 315-324, 2004.

  36. Fixed Point Theory for k-set contraction, (with T.H. Chang and C.L. Yen) J. Korean Math. Soc. 41, No 2, 243-248, 2004. [SCI]


【研討會論文】

  1. Fixed point theorems for a weaker Meir-Keeler type Ψ-set contraction in metric spaces,(2009.11.12 國立中興大學應用數學系專題演講)

  2. Fixed point theorems for the generalized Ψ-set contraction mapping on an abstract convex space, The 9th international conference on fixed point theory and its applications. (2009.7.16~22 國立彰化師範大學)

  3. Some applications for the class gKKM(X,Y) and the Φ-mapping in hyperconvex metric spaces, The Fifth International Conference on Nonlinear Analysis and Convex Analysis。(2007.6 國立清華大學)
國科會計畫與其他計畫

(a) 國科會研究計畫

1. 100年度，Meir-Keeler 類型函數之研究。NSC100-2115-M-134-002-，計畫主持人。

2. 99年度，殆凸集與弱收縮映射之研究(2/2)。NSC98-2115-M-134-003-MY2，計畫主持人。

3. 98年度，殆凸集與弱收縮映射之研究(1/2)。NSC98-2115-M-134-003-MY2，計畫主持人。

4. 96年度，在測距空間上之KKM性質與定點定理。NSC96-2115-M-134-002，計畫主持人。

5. 95年度，定點定理及其應用。NSC95-2115-M-134-002，計畫主持人。

6. 94年度，固定點定理、KKM定理及其應用。NSC 94-2115-M-134-003，計畫主持人。


(b) 教育部教學卓越計畫

96教學卓越計畫：推動『改善大學基礎數學教學品質』之計劃，計畫主持人。


(c) 國立新竹教育大學『教師專題研究計畫補助』

固定點定理、KKM定理及其應用，計畫主持人(94年度)。
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