Your browser does not support JavaScript!
計科所 陳啟銘 研究成果 Chi-Ming Chen’s Publications and Awards

教育部獎勵特殊優秀人才(2011-2014)、科技部獎勵特殊優秀人才(2014-2017)

著作 Publications

1.    C.M Chen, E. Karapinar, Common periodic soft points of the asymptotic sequences in soft metric spaces, Journal of nonlinear and convex analysis. (Accepted).

2.    C.-M. Chen, A. Abkar, S. Ghods and E. Karapınar, Fixed Point Theory for the a-Admissible Meir-Keeler-Type Set Contractions Having KKM∗ Property on Almost Convex Sets, Applied Mathematics & Information Sciences, 11, No. 1, 1-6 (2017).

3.    C.M Chen, E. Karapinar, G.T Chen, On the Meir-Keeler-Khan set contractions, Journal of Nonlinear Science and Applications, J. Nonlinear Sci. Appl. 9 (2016), 5271-5280.

4.    Lu-Chuan Ceng, Chi-Ming Chen, 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.

5.    Kuo-Ching Jen, Chi-Ming Chen and Li-Cherng Peng, Some new fixed point theorems for the Meir-Keeler contractions on partial Hausdorff metric spaces.Journal of Inequalities and Applications.

6.    Chi-Ming Chen and Ing-Jer Lin , Fixed point theory of the soft Meir-Keeler type contractive mappings on a complete soft metric space. Journal of Inequalities and Applications , 2015:184.

7.    Lu-Chuan Ceng, Chi-Ming Chen and Chin-Tzong Pang , 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.

8.    Chi-Ming Chen, Erdal Karapinar and Vladimir Rakoievic, 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.

9.    Ing-Jer Lin, Chi-Ming Chen, and Erdal Karapinar, Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric Spaces, Abstract and Applied Analysis, Volume 2014, Article ID 490450, 6 pages.

10.  Maryam A. Alghamdi, Chi-Ming Chen, and Erdal KarapJnar Generalized Weaker (\alpha-\phi-\varphi)-Contractive Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces, Abstract and Applied Analysis, Volume 2014, Article ID 985080, 10 pages.

11.  S. Al-Mezel, C.-M. Chen, E. Karapinar, V. Rakocevic, Fixed point results for various α-admissible contractive mappings on metric-like spaces. Abstract and Applied Analysis,, Article ID 379358, 15 pages.

12.  L.C. Ceng, C.-M. Chen, C.F. Wen, C.-T. Pang, 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 .

13.  C.M. Chen, E. Karapinar, Fixed point results for the alpha-Meir-Keeler contraction on partial Hausdorff metric spaces, Journal of Inequalities and Applications, Vol.2013, 2013:410.

14.  C.M. Chen, I.J Lin, Common fixed points of generalized cyclic Meir-Keeler-type contractions in partially ordered metric spaces, Abstract and Applied Analysis, Article ID 787342, 7 page.

15.  K.C Jen, C.M. Chen, I.J Lin, Coincidence points of weaker contractions in partially ordered metric spaces, Journal of Applied Mathematics, Volume 2013, Article ID 507805, 8 pages .

16.  C.M. Chen, C.H Chen, Fixed point results for Meir-Keeler-type \phi-\alpha-contractions on partial metric space, Journal of Inequalities and Applications, Vol.2013, 2013:341.

17.  C.M. Chen, J.C Lee, C.H Chen, Fixed point theory of weak contractions in partially ordered metric spaces, Journal of Applied Mathematics, Vol. 2013, Article ID 302438, 7 pages.

18.  C.M. Chen, Fixed point theorems of generalized cyclic orbital Meir-Keeler contractions, Fixed Point Theory and Applications, Vol. 2013,2013:91.

19.  C.M. Chen, Fixed point theory of cyclical generalized contractive conditions in partial metric spaces, Fixed Point Theory and Applications, Vol. 2013, 2013:17.

20.  I.J Lin, C.M. Chen, C.H Chen, T.Y Cheng, A note on tvs-G-cone metric fixed point theory, Journal of Applied Mathematics, Vol., 2012. Article ID 407071 ,10 pages.

21.  C.M. Chen, C.H Chen, Best proximity point theorems for some new cyclic mappings, Journal of Applied Mathematics, Vol., 2012. Article ID 643729,10 pages

22.  I.J Lin, C.M. Chen, M. Jovanovic, T.H Wu, Fixed points and endpoints of set-valued contractions in cone metric spaces, Abstract and Applied Analysis, Volume 2012, Article ID 632628, 14 pages.

23.  C.M. Chen, C.H Chen, 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.

24.  C.M. Chen, C.J Lin, 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.

25.  C.M. Chen, 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.

26.  C.M. Chen, 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.

27.  C.M. Chen, 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.

28.  C.M. Chen, 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.

29.  C.M. Chen, W.Y Sun, 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.

30.  C.M. Chen, Fixed point theorems for Ψ-contractive mappings in ordered metric spaces, Journal of Applied Mathematics, Vol. 2012. Article ID 756453,10 pages.

31.  C.M. Chen, P.S Tsai, 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.

32.  C.M. Chen, A note of asymptotic pointwise weaker Meir-Keeler-type contractions, Applied Mathematics Letters, Vol. 2011. 1267-1269.

33.  C.M. Chen, T.H. Chang, K.S. Juang, 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.

34.  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.

35.  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.

36.  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.

37.  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.

38.  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.

39.  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.

40.  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.

41.  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.

42.  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.

43.  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.

44.  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.

45.  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.

46.  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.

47.  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]

48.  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.

49.  C.M. Chen, (2009) Fixed point theorems for a k-set contraction in a metric space, Applied Mathematics Letters, Vol.22, 101-104, 2009.

50.  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.

51.  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.

52.  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.

53.  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.

54.  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.

55.  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.

56.  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 .

57.  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.

58.  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. 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

59.  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.

60.  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.

61.  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.

62.  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.

63.  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.

歷年學生論文 Alumni

1.   彭湘嵐 Fixed point results for \phi‑-admissible Meir-Keeler-type set contractions having KKM property on metric spaces。

2.   黃子紜 Fixed points of (Ψ,φ,ɸ)-contradictions on complete generalized metric spaces

3.   林重佑 Fixed point theory of cyclic weak contractions in partial metric spaces。

4.   吳姿慧 Fixed points of set-valued contractions in cone metric spaces。

5.   鄭恬瀅 A note on tvs-G-cone metric fixed point theory。

6.   蔡佩珊 Fixed point and common fixed point theorems for the Meir-Keeler type functions in cone ball-metric spaces。

7.   林靖儒 Best periodic proximity points for cyclic weaker Meir-Keeler contractions。

8.   徐憶潔 Fixed points and endpoints of set-valued contractions in complete metric spaces。

9.   孫維毅 Periodic points and fixed points for wekaer (ɸ,Ψ)- contractive mappings in complete generalized metric spaces

10. 劉建興 Common fixed point theorems of fuzzy maps。

11. 莊高松 Common fixed point theorems  for the stronger meir-Keeler cone ball-metric spaces。

12. 郭克偉 Fixed points theorems for a weaker Meir-Keeler type contraction in cone metric spaces。

13. 彭博生 Common fixed points of two singled-valued and two multi-valued mappings on metric spaces。

14. 林雅婷 A common fixed point theorem in cone rectangular metric space。

15. 鍾啟昇 Common fixed point theorems in cone rectangular metric spaces。

16. 黃怡珊 A common fixed point theorem in cone metric space。

17. 羅錫康 A common fixed point theorem in complete G-metric space。

18. 林廷霖 Common fixed point theorems for compatible mapping satisfying weaker Meir-Keeler contractive conditions。

19. 楊智雄 Approximate fixed point theorems for the  weaker Meir-Keeler type set-contraction on almost ɸ-spaces

20. 粘筱盈 Common fixed point theorems for compatible mapping satisfying contractive conditions。

21. 陳翰芸 Common fixed point theorems generalized contraction。

22. 康雅茹 Two Minimax inequality theorems in hyperconvex metric spaces。

歷年受邀學術演講或主持研討會 Talks

1.  運用鷹架策略改善大學代數學之教學品質,專題演講(2016.09.12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)

歷年執行研究與學術計畫 Research and Academic Projects

科技部計畫:

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。NSC105-2115-M-134-002-,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。NSC104-2115-M-134-007-,計畫主持人。

104年度,軟集理論及其固定點。NSC104-2115-M-134-003-,計畫主持人。

102年度,各種收縮映射之最佳鄰近點的存在性。NSC102-2115-M-134-001-,計畫主持人。

101年度,滿足循環收縮條件的函數之最佳鄰近點。NSC101-2115-M-134-004-,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。

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。

 

瀏覽數  
將此文章推薦給親友
請輸入此驗證碼
Voice Play
更換驗證碼