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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

(03)5715131、校本部分機35159
傳　　真 (03)5611228
辦 公 室 校本部A807
電子郵件 chenchiming@mx.nthu.edu.tw
個人網頁 http://www.nhcue.edu.tw/~ming
經歷摘要

國立清華大學計算與建模科學所教授

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. Chi-Ming Chen*, Zhi-Hao Xu, and Erdal Karapnar* (2021, Mar). Soft Fixed Point Theorems for the Soft Comparable contractions. Journal of Function Spaces, Article ID 5554510).
  2. Erdal Karapınar, Chi-Ming Chen, and Andreea Fulga* (2021, Mar). Nonunique coincidence point results via admissible mappings. Journal of Function Spaces, Article ID 5538833, 10pages.
  3. Cheng-Yen Li, Erdal Karapınar*, Chi-Ming Chen*, (2020, Jan) A Discussion on Random Meir-Keeler Contractions, Mathematics, 2020, 8(2), 245.
  4. Chi-Ming Chen, Gholamreza Heidary Joonaghany, Erdal Karapınar and Farshid Khojasteh (2019, Jun). On Bilateral Contractions. Mathematics. 2019, 7(6), 538.
  5. Chih-Sheng Chuang and Chi-Ming Chen (2019, May). Split proximal linearized algorithm and convergence theorems for the split DC program. Journal of Inequalities and Applications, (2019) 2019:148.
  6. Erdal Karapınar , Chi-Ming Chen and Chih-Te Lee (2019, Apr). Best Proximity Point Theorems for Two Weak Cyclic Contractions on Metric-Like Spaces. Mathematics, 2019, 7, 349.
  7. Hassen Aydi, Chi-Ming Chen and Erdal Karapınar (2019, Jan). Interpolative Ciric-Reich-Rus Type Contractions via the Branciari Distance. Mathematics, 2019, 7, 84.
  8. Chih-Sheng Chuang; Chi-Ming Chen (2017, Dec). An Algorithm for The Split Feasibility Problems with Application to The Split Equality Problem. Journal of Inequalities and Applications. 2017:301.
  9. C.-M Chen, E. Kapainar (2017, Aug). Common periodic soft points of the asymptotic sequences in soft metric spaces . Journal of nonlinear and convex analysis, Vol.18 No.6 2017, 1141-1151.
  10. Chi-Ming Chen, ErdalKarapınar (2017, Aug). Some fixed point results via measure of noncompactness. Journal of Nonlinear Science Applications, 10 (2017), 4015–4024.
  11. C.-M. Chen, A. Abkar, S. Ghods and E. Karapınar (2017, Jan). Fixed Point Theory for the a-Admissible Meir-Keeler-Type Set ontractionsHaving KKM* Property on Almost Convex Sets. Applied Mathematics & Information Sciences, 11, No. 1, 1-6 (2017).
  12. Chih-Sheng Chuang; Chi-Ming Chen (2017). An Algorithm for The Split Feasibility Problems with Application to The Split Equality Problem. Journal of Inequalities and Applications. (Accepted).
  13. Chi-Ming Chen, ErdalKarapinar, Guang-Ting Chen (2016, Dec). On the Meir- Keeler-Khan set contractions. J. Nonlinear Sci. Appl., 9 (2016), 5271{5280..
  14. Lu-ChuanCeng, Chi-Ming Chen, AND Ching-Feng Wen (2015, Dec). Generalized mixed equilibria, variational inequalities and common fixed point promblems. Journal of Nonlinear and Convex Analysis, Volume 16, Number 12, 2015.
  15. Kuo-Ching Jen, Chi-Ming Chen and Li-CherngPeng (2015, Aug). Some new fixed point theorems for the Meir-Keeler contractions on partial Hausdorff metric spaces. Journal of Inequalities and Applications.
  16. Chi-Ming Chen and Ing-Jer Lin (2015, Jun). Fixed point theory of the soft Meir- Keeler type contractive mappings on a complete soft metric space. Journal of Inequalities and Applications , 2015:184 .
  17. Lu-ChuanCeng, Chi-Ming Chen and Chin-Tzong Pang (2014, Nov). On a finite family of variational inclusions with the constraints of generalized mixed equilibrium and fixed point problems. Journal of Inequalities and Applications, Vol. 2014, 2014:462.
  18. Chi-Ming Chen, ErdalKarapinar, and Vladimir Rakoievic (2014, Aug). Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi- Metric Spaces. Journal of Applied Mathematics, Volume 2014, Article ID  353765, 8 pages.
  19. Ing-Jer Lin, Chi-Ming Chen, and ErdalKarapinar (2014, Jul). Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric Spaces. Abstract and Applied Analysis, Volume 2014, Article ID 490450, 6 pages. (SCI).
  20. Maryam A. Alghamdi, Chi-Ming Chen, and ErdalKarapJnar (2014, May). The Generalized Weaker (α-φ-ϕ)-Contractive Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces . Abstract and Applied Analysis, Volume 2014, Article ID 985080, 10 pages.
  21. S. Al-Mezel, C.-M. Chen, E. Karapinar, V. Rakocevic (2014, May). Fixed point results for various α-admissible contractive mappings on metric-like spaces. Abstract and Applied Analysis,, Article ID 379358, 15 pages.
  22. L.C. Ceng, C.-M. Chen, C.F. Wen, C.-T. Pang (2014, Mar). Relaxed Iterative Algorithm for Generalized Mixed Equilibrium Problems with Constraints of Variational Inequalities and Variational Inclusions. Abstract and Applied Analysis, Article ID 345212, 25 pages .
  23. L-C. Ceng, C.-M. Chen and C.-T. Pang (2014, Feb). Hybrid Extragradient-Like Viscosity Methods for Generalized Mixed Equilibrium Problems, Variational Inclusions and Optimization Problems. Abstract and Applied Analysis.
  24. C.-M. Chen, E. Karapinar (2013), Fixed point results for the alpha-Meir-Keeler contraction on partial Hausdorff metric spaces, Journal of Inequalities and Applications, Vol.2013, 2013:410.
  25. C.-M. Chen, I.J Lin (2013), Common fixed points of generalized cyclic Meir-Keeler-type contractions in partially ordered metric spaces, Abstract and Applied Analysis, Article ID 787342, 7 page.
  26. K.C Jen, C.-M. Chen, I.J Lin (2013), Coincidence points of weaker contractions in partially ordered metric spaces, Journal of Applied Mathematics, Volume 2013, Article ID 507805, 8 pages .
  27. C.-M. Chen, C.H Chen (2013) Fixed point results for Meir-Keeler-type  (φ-α)-contractions on partial metric space, Journal of Inequalities and Applications, Vol.2013, 2013:341.
  28. C.-M. Chen, J.C Lee, C.H Chen (2013) Fixed point theory of weak contractions in partially ordered metric spaces, Journal of Applied Mathematics, Vol. 2013, Article ID 302438, 7 pages.
  29. C.-M. Chen, (2013) Fixed point theorems of generalized cyclic orbital Meir-Keeler contractions, Fixed Point Theory and Applications, Vol. 2013,2013:91.
  30. C.-M. Chen, (2013) Fixed point theory of cyclical generalized contractive conditions in partial metric spaces, Fixed Point Theory and Applications, Vol. 2013, 2013:17.
  31. I.J Lin, C.-M. Chen, C.H Chen, T.Y Cheng, (2012) A note on tvs-G-cone metric fixed point theory, Journal of Applied Mathematics, Vol., 2012. Article ID 407071 ,10 pages.
  32. C.-M. Chen, C.H Chen, (2012) Best proximity point theorems for some new cyclic mappings, Journal of Applied Mathematics, Vol., 2012. Article ID 643729,10 pages
  33. I.J Lin, C.-M. Chen, M. Jovanovic, T.H Wu, (2012) Fixed points and endpoints of set-valued contractions in cone metric spaces, Abstract and Applied Analysis, Volume 2012, Article ID 632628, 14 pages.
  34. C.-M. Chen, C.H Chen, (2012) Periodic points for the weak contraction mappings in complete generalized metric spaces, Fixed Point Theory and Applications, Vol. 2012, 2012:79 doi:10. 1186/1687-1812-2012-79.
  35. C.-M. Chen, C.J Lin, (2012) Best periodic proximity points for cyclic weaker Meir-Keeler contractions, Journal of Applied Mathematics, Vol. 2012, Article ID 782389, 7 pages doi:10.1155/2012/782389.
  36. C.-M. Chen, (2012) Common fixed point theorems in complete generalized metric spaces, Journal of Applied Mathematics, Vol. 2012, Article ID 945915, 13 pages doi:10.1155/2012/945915.
  37. C.-M. Chen, (2012) Fixed point theorems for cyclic Meir-Keeler type mappings in complete metric spaces, Fixed Point Theory and Applications, Vol. 2012. 2011:41 doi:10.1186 /1687 -1812-2011-41.
  38. C.-M. Chen, (2012) On set-valued contractions of Nadler type in tvs-G-cone metric spaces, Fixed Point Theory and Applications, Vol. 2012. 2011:52 doi:10.1186 /1687 -1812-2011-52.
  39. C.-M. Chen, (2012) Fixed point theory for the cyclic weaker Meir-Keeler function in complete metric spaces, Fixed Point Theory and Applications, Vol. 2012, 2012:17 doi:10. 1186/1687-1812-2012-17.
  40. C.-M. Chen, W.Y Sun, (2012) Periodic points and fixed points for the weaker (ɸ,Ψ)-contractive mappings in complete generalized metric space, Journal of Applied Mathematics, Vol. 2012. Article ID 856974, 7 pages.
  41. C.-M. Chen, (2012) Fixed point theorems for Ψ-contractive mappings in ordered metric spaces, Journal of Applied Mathematics, Vol. 2012. Article ID 756453,10 pages.
  42. C.-M. Chen, P.S Tsai(2012) Fixed point and common fixed point theorems for the Meir-Keeler type functions in cone ball-metric spaces, Ann. Funct. Anal.Vol. 2012, No.2, 156-171.
  43. C.-M. Chen, (2012) A note of asymptotic pointwise weaker Meir-Keeler-type contractions, Applied Mathematics Letters, Vol. 2011. 1267-1269.
  44. C.-M. Chen, T.H. Chang, K.S. Juang, (2012) Common fixed point theorems for the stronger Meir-Keeler cone-type function in cone ball-metric spaces, Applied Mathematics Letters, Vol., 25. (2012) 692-697.
  45. C.-M. Chen, (2011) 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. Article ID 327941,11 pages.
  46. C.-M. Chen, (2011) Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory and Applications, Vol. 2011. 2011:72. doi:10.1186 /1687 -1812-2011-72.
  47. C.-M. Chen, (2011) Common fixed point theorems of the asymptotic sequences in ordered cone metric spaces, Journal of Applied Mathematics, Vol. 2011. Article ID 127521,14 pages.
  48. C.-M. Chen, J.S Liu, (2011) A common fixed point theorem of fuzzy maps in metric linear spaces, JP Journal of Applied Mathematics, Volume 1, Issue 2, 2011, 73-78.
  49. C.-M. Chen, C.J. Lin, (2011) Common fixed point theorems for contraction type mappings in partially ordered metric space, Tamkang Journal of Mathematics, Vol.42 ,11-19.
  50. C.-M. Chen, T.H Chang, (2010) Common fixed point theorems for a weaker Meir-Keeler type function in cone metric spaces, Applied Mathematics Letters, Vol.23, 1336-1341, 2010.
  51. T.H Chang, C.-M. Chen, (2010) A common fixed point theorem for the weaker Meir-Keeler type, Applied Mathematics Letters, Vol.23, 252-255, 2010.
  52. C.-M. Chen, T.H Chang, Y.H Huang (2010) Approximate fixed point theorems for the generalized Ψ-set contraction mappings on an almost Φ-space, Applied Mathematics Letters, Vol.23, 152-155, 2010.
  53. T.H Chang, C.-M. Chen, (2010) Fixed point theorems for the generalized Ψ-set contraction mapping on an abstract convex space, Taiwanese Journal of Mathematics, Vol.14, No.5, 2015-2025, 2010.
  54. T.H Chang, C.-M. Chen, (2010) A common fixed point theorem for the Ψ-contractive mapping, Tamkang Journal of Mathematics, Vol.41, No.1, 25-30, 2010.
  55. T.H. Chang, C.-M. Chen, C.H. Chen, (2009) Generalized 2-gKKM property in a hyperconvex metric space and its applications, Nonlinear Analysis Theory, Methods & Applications, Vol.72, Issues 1, 50-56, 2009.
  56. C.-M. Chen, T.H Chang, (2009) Fixed point theorems for a weaker Meir-Keeler type Ψ-set contraction in metric spaces, Fixed Point Theory and Applications, Vol.2009 (2009), 8 pages.
  57. T.H. Chang, C.-M. Chen, Y.H. Huang, (2009) Approximate fixed point theorems for the class almost S-KKMc mappings in abstract convex uniform spaces, Fixed Point Theory and Applications, Vol.2009 (2009), 7 pages.
  58. C.-M. Chen, (2009) 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]
  59. C.-M. Chen, T.H Chang, (2009) The 2-KKM property and its applications in hyperconvex metric spaces, Nonlinear Analysis Theory, Methods & Applications, Vol .71, Issues 5-6, 1978-1984, 2009.
  60. C.-M. Chen, (2009) Fixed point theorems for a k-set contraction in a metric space, Applied Mathematics Letters, Vol.22, 101-104, 2009.
  61. C.-M. Chen, T.H Chang, C.W. Chung, (2009) Coincidence theorems on nonconvex sets and its applications, Taiwanese Journal of Mathematics, Vol.13 No.2A, 501-513, 2009.
  62. C.-M. Chen, T.H Chang, (2008) Some results for the family 2-gKKM (X,Y) and the Φ-mapping in hyperconvex metric spaces, Nonlinear Analysis Theory, Methods & Applications,Vol 69, No.8, 2533-2540, 2008.
  63. T. H. Chang, C.-M. Chen, H.C. Huang, (2008) Generalized KKM theorems on hyperconvex metric spaces with applications, Taiwanese Journal of Mathematics, Vol.12, No.9, 2363-2372, 2008.
  64. T.H. Chang, C.-M. Chen, J.H. Chang, (2008) Generalized 2-KKM theorems and its applications in hyperconvex metric spaces, Nonlinear Analysis Theory, Methods & Applications, Vol.69, No.4, 1145-1148, 2008.
  65. T.H. Chang, C.-M. Chen, C.Y. Peng, (2008) Generalized KKM theorems on hyperconvex metric spaces and some applications, Nonlinear Analysis Theory, Methods & Applications, Vol.69, No.2, 530-535, 2008.
  66. C.-M. Chen, T.H. Chang (2007) Some results for the family KKM (X,Y) and the Φ-mapping, Journal of Mathematical Analysis and Applications, Vol.329, No.1, pp 92-101, 2007.
  67. C.-M. Chen, T.H. Chang, Y.P. Liao, (2007) Coincidence Theorems, Generalized Variational Inequality Theorems and Minimax Inequality Theorems for the Φ-mapping on G-convex spaces, Fixed Point Theory and Applications, Vol.2007 (2007), 13 pages .
  68. C.-M. Chen, (2007) R-KKM theorems on L-convex spaces and its applications, Scientiate Mathematicae Japonicae, Vol 65 No 2 pp 195-207, 2007.
  69. C.-M. Chen, C.T Liu, (2007) Fixed point theorems for a k-set contraction map on a nearly convex set, International Mathematical Forum, Vol 2 No.27 pp 1329-1340, 2007. 
  70. C.-M. Chen, T.H. Chang, (2006) Common fixed point in Menger spaces, International Journal of Mathematics and Mathematical Sciences, Vol.2006 (2006), Article ID 75931, 15 pages
  71. C.-M. Chen, T.H. Chang, (2006) Common fixed point in Menger spaces, International Journal of Mathematics and Mathematical Sciences, Vol.2006 (2006), Article ID 75931, 15 pages.
  72. C.-M. Chen, (2006) KKM property and fixed point theorems in metric spaces, Journal of Mathematical Analysis and Applications, Vol 323 No 2 pp 1231-1237, 2006.
  73. C.-M. Chen, (2006) 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.
  74. C.-M. Chen, T.H. Chang, (2006) Fixed point theorems in Menger spaces, Advances in Mathematical Sciences and Applications, Vol.16, 133-139, 2006.
  75. C.-M. Chen, (2005) R-KKM property and fixed point theorems, Far. East J. Math. Sci. 17(2), 245-259, 2005.
  76. C.-M. Chen, C.L. Yen, (2005) Fixed-point theorems for the class Q(X,Y), International Journal of Mathematics and Mathematical Sciences, Issue.9, 1333-1338, 2005.
  77. C.-M. Chen, (2004) Fixed point theorems for the closed inward maps, Far. East J. Math. Sci. 15(2), 243-253, 2004.
  78. C.-M. Chen, T.H. Chang, C.L. Yen, (2004) Fixed Point Theory for k-set contraction, J. Korean Math. Soc. 41, No 2, 243-248, 2004.
【研討會論文】
  1. Some fixed point results via measure of noncompactness，2017 Workshop on
    Analysis, Algebra and Optimization，(2017.10.26 國立高雄師範大學)
  2. Periodic points of weaker Meir-Keeler contractive mappings on generalized quasi-metric
    space，專題演講(2015.11.11 國立台中教育大學)
  3. Fixed point theory for the cyclic weaker Meir-Keeler contractions, 2012 Workshop on
    Applied Analysis, (2012.05.09 國立高雄師範大學)
  4. 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)
  5. 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)
  6. 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)
研究計畫與其他計畫
(a) 國科會研究計畫

112年，軟度量類型空間上之改進 KKM 理論

111年，度軟拓樸空間之軟固定點理論及其應用到微分包含和決策問題

110年度，哈達瑪空間中關於近點算法的收斂性及一些應用，計畫主持人。

109年度，在Hadamard流形和CAＴ(0)空間之KKM性質，平衡問題及其應用，計畫主持人。

108年度，藉非緊緻測度去探究隨機不動點理論,並應用至隨機積分與微分方程，計畫主持人。

107年度，最佳鄰近點和近似映射之研究及其在微分方程的應用(107-2115-M-007-008-)

106年度，非緊緻測度之研究,定點理論及其應用至非線性微分和積分方程(106-2115-M-007-012-)

105年度，改善教學品質:運用鷹架策略與啟發式教學(S902)(105-2511-S-007-007-)

105年度，多值映射的最佳臨近與不動點,及其微分包含之應用(105-2115-M-007-015-)

104年度，104軟集理論及其固定點 104-2115-M-134-003-，計畫主持人。

104年度，改善大學代數學之教學品質:運用鷹架策略之探究 104-2511-S-134-007-，計畫主持人。

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

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。

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。

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。

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

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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