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張東輝 Tong-Huei Chang

系所人員 Faculty - 專任教師  

張東輝  Tong-Huei Chang
張東輝 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2711
傳  真  (03)5611228
辦  公  室  
電子郵件 thchang@mail.nhcue.edu.tw
個人網頁  
經歷摘要

國立新竹教育大學應用數學系教授  (1998~2010)

個  人  著  作

【期刊論文】

1. Approximate fixed point theorems for the generalizedΨ-set contraction mappings on an almost Φ-space (with C.M Chang, Y.H Huang), Applied Mathematics Letters, (Accepted 2009)
2. Generalized 2-gKKM property in a hyperconvex metric space and its applications, (with C.M. Chen, C.H. Chen) Nonlinear Analysis Theory, Methods & Applications, (Accepted).
3. Fixed point theorems for a weaker Meir-Keeler type Ψ-set contraction in metric spaces, (with C.M. Chen) Fixed Point Theory and Applications, Vol.2009, 8 pages, 2009.

4. Approximate fixed point theorems for the class almost S-KKMC mappings in abstract convex uniform spaces, (C.M. Chen, Y.H. Huang) Fixed Point Theory and Applications, Vol.2009, 7 pages, 2009.

5. Fixed point theorems for the generalized Ψ-set contraction mapping on an abstract convex space, (with C.M. Chen) Taiwanese Journal of Mathematics, (Accepted).

6. The 2-KKM property and its applications in hyperconvex metric spaces, Nonlinear Analysis Theory, Methods & Applications, (with C.M. Chen ) Nonlinear Analysis Theory, Methods & Applications, Vol.71, Issues 5-6, pp1978-1984, 2009. (SCI)

7. Coincidence theorems on nonconvex sets and its applications, Taiwanese Journal of Mathematics, ((with C.M. Chen, C.W. Chung) Taiwanese Journal of Mathematics, Vol.13 No.2A pp501-513, 2009. (SCI)

8. Some results for the family 2-gKKM(X,Y) and the Ψ-mapping in hyperconvex spaces, Nonlinear Analysis Series A: Theory, Methods &
Applications, (with C.M. Chen)  Nonlinear Analysis Theory, Methods & Applications,Vol.69 No.8 pp 2533-2540, 2008. (SCI)

9. Generalized 2-KKM theorems and its applications in hyperconvex metric spaces, (with C.M. Chen and J.H. Chang) Nonlinear Analysis Theory, Methods & Applications, Vol. 69 No. 4 pp 1145-1148, 2008. (SCI).

10. Generalized KKM theorems on hyperconvex metric spaces and some applications, (with C.M. Chen, C.Y. Peng) Nonlinear Analysis Theory, Methods & Applications, Vol. 69 No. 2 pp 530-535, 2008. (SCI).

11. Generalized KKM theorems on hyperconvex metric spaces with applications, Taiwanese Journal of Mathematics, (with C. M. Chen, H.C.Huang) Taiwanese Journal of Mathematics, Vol.12 No.9 pp 2363-2372, 2008. (SCI).

12. Coincidence Theorems, Generalized Variational Inequality Theorems and Minimax Inequality Theorems for the Ψ-mapping on G-convex spaces,
Fixed Point Theory and Applications  (with C.M. Chen, Y. P. Liao) Fixed Point Theory and Applications, Vol.2007, 13 pages, 2007 (SCI)

13. Some results for the family KKM (X,Y) and the -mapping , Journal of Mathematical Analysis and Applications, 329(2007), 92-101. (with C.M.
Chen) (SCI)

14. Fixed point theorems in Menger spaces, Advances in Mathematical Sciences and Applications, Vol.16, 133-139, 2006. (with C.M. Chen)

15. Common fixed point theorems in Menger spaces, Int.J. Math. Math. Sci., (accepted) (with C.M. Chen)

16. H-S-KKM Theorem and Its Applications, Far East J. Math. Sci., 14(3)(2004 ) 315-324 (with C.M. Chen)

17. Fixed-Point Theory for k-set Contraction, J. Korea Math. Soc. 41(2)(2004), 243-248. (with C.M. Chen and C.L. Yen))( SCIE)

18. Fixed point theorems for multifunctions in S-KKM class, Nonl. Annl. TMA 44 (2001) 1007-1017. (SCI ) (with Young-Ye Huang and Jyh-Chung Jeng)

19. On S-KKM property and related topics, J. Math. Anal. Appl., 229(1999), 212-227.( SCI ) (with Jyh-Chung Jeng and Kung-Hwang Kuo )

20. KKM property and Leray-Schauder principles , Far East J. Math. Sci. Special Volume(1998) Part 3, 337-350. (NSC 87-2115-M-158-001)

21. A note of SupInfSup inequalities and minimax theorems, Nonlinear Funct. Anal. And Appl. 3(1998),201-208.

22. S-KKM theorems saddle points and Minimax Inequalities, Nonl. Anal. TMA 34(1998) 73-86.( SCI ) (with Lai-Jiu Lin)

23. KKM property and Leray-Schauder principles, Far East J. Math. Sci. , Special Volume(1998) Part 3, 337-350. (NSC 87-2115-M-158-001)

24. Generalized KKM theorem and its applications, Far East J. Math. Sci. ,4(1996),137-147.

25. Generalized KKM theorem and its applications, Banyan Math. J. 2(1996), 21-28. (with C.L. Yen) KKM property and fixed point theorems, J. Math. Anal. Appl., 203(1996),224-235. (with C.L. Yen)( SCI)

26. D-Compatible Mappings of Type (A) and Common Fixed Points, Far East J. Sci. 4(3)(1996), 339-342. (with H.K. Pathak)

27. Common Fixed Point Theorems for Multivalued Mappings, Math. Japonica 41(2)(1995),311-320.

28. Common Fixed Point Theorems for Compatible Mappings of Type (D) in Manger spaces, Banyan Math. J.2(1995),29-49. (with H.K. Pathak)

29. Common Fixed Point Theorems in Manger spaces, Bull. Math. Acad. Sinica,22(1)(1994).

30. Fixed Point Theorems for Contractive Type Set-Valued Mappings, Math. Japonica 38(4)(1993), 675-690.

31.在 Menger 空間中之公共固定點定理, 實踐學報 (23)(1992)p.195-210

32. 收縮型多值函數之固定點定理, 實踐學報 (22)(1991) p.185-223

33. Some Fixed Point Theorems in Banach Space, J. Math. Anal. Appl.,138(2)(1989), 550-558. (with C.L. Yen)( SCI )

 

【專書及專書論文】

1. 國民小學數學科課本、教引、習作(新學友書局)第 2 冊至第12 冊(1997-2000
年)。

2. 九年一貫數學領域數學領域第 4、5 冊、第7-9 冊課本、教學指引、習作(仁
林書局)及第2、3 冊課本、教學指引、習作(仁林書局)修訂版。(2002-2003
年)

3. 階梯多元智慧先修數學教材(幼兒數學教材:課本、習作),階梯數位科技
股份有限公司, 2002 年4 月。

國科會計畫與其他計畫

1. 推廣型KKM定理及應用

2. 固定點定理、KKM定理及其相關課題

3. 超凸度量空間上之KKM定理,定點定理及其應用

4. 抽象凸空間上的近似定點定理與定點定理

5. 非線性多值分析及其應用國際研討會

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