論
文
著
述
總
表
賴漢卿 (Hang-Chin Lai)
Update 2008/02/15
教授
D.Sc., Tohoku University
Specialization: Functional analysis and its applications, (Harmonic Analysis, Optimization,
Mathematical Programming and Mathematical Control)
1. “A note on W ( q ,a ) -summability”, Hung-Ching Chow sixty-five Anniversary Volume, Math.
Res. Center, Taipei, (1967), pp. 136-143. MR.37 #640.
2. “On some properties of A P (G ) algebras”, Proc. Japan Acad., 45 (1969), pp. 572-576. (SCI)
3. “On the category of L1 (G)  LP (G) in A q (G) ”, Proc. Japan Acad., 45 (1969), pp. 577-581.
MR.40 #4777. (SCI)
4. “Remarks on A P (G ) algebras”, Proc. Japan Acad., 46 (1970), pp. 58-63. MR.42 #3577. (SCI)
5. “On the multipliers of A P (G ) algebras”, Tohoku Math. J., 23 (1971), pp. 641-662. MR.46
#7801. (SCI)
6. “Isomorphism theorem of A P (G ) -algebras”, Funct. Anal. and Real Anal. Symp., Japan Math.
Soc., 9 (1971), pp. 62-67.
7. “Invariant means and convex hull of translates”, Proc. Nat. Sci. Council, Taipei, 5 (1972), pp.
1-13. (EI)
8. “A characterization of the multipliers of Banach algebras”, Yokohama Math. J., 20 (1972), pp.
45-50. MR.46 #7900.
9. “Exponential decay of weak solutions for hyperbolic systems of first order with discontinuous
coefficients”, Trans. Amer. Math. Soc., 170 (1972), pp. 425-436. MR.47 #2194. (SCI)
10. “ The Fourier transformations of closed operators on a dense subspace of L1 (G ) ”, Math.
Japonica, 17 (1972), pp. 135-147. MR.48 #11923.
11. “ Isomorphism theorem of the spaces LP (G) ” (with M.C. Lien), Chinese J. Math., 1 (1973),
pp. 167-173. MR.53 #8781.
12. “ Estimate for maximal operators of fractional order k ” (with L.J. Lin), Tamkang J. Math., 4
(1973), pp. 175-186. MR.50 #10185.
13. “Multipliers of a Banach algebra in the second conjugate algebra as an idealizer”, Tohoku Math.
J., 26 (1974), pp. 431-452. MR.50 #10817. (SCI)
1
14. “Restrictions of Fourier transforms on A p ”, Tohoku Math. J., 26 (1974), pp. 453-460. MR.52
#8793. (SCI)
15. “Multipliers of Lorentz spaces” (with Y.K. Chen), Hokkaido Math. J., 4 (1975), pp. 248-260.
MR.55 #981.
16. “Banach algebras which are ideals in a Banach algebra”, Bull. Inst. Math., Acad. Sinica, 3
(1975), pp. 383-389. MR.53#1274.
17. “Unique continuation for symmetric hyperbolic systems of first order with discontinuous
coefficients”, Yokohama Math. J., 26 (1978), pp. 61-68. MR.80c: 35065.
18. “ Numerical ranges of the tensor products of elements ” (with F.B. Yeh), Hokkaido Math. J., 7
(1978), pp. 214-223. MR.80f: 46505.
19. “ Harmonic analysis on the Fourier algebras A1, p (G) ” (with I.S. Chen), J. Austral. Math. Soc.
(Ser. A), 30 (1981), pp. 438-452. MR.82k: 43002. (SCI)
20. “The ranges of set functions” (with S. Koshi), Hokkaido Math. J., 10 (1981) Sp., pp. 348-360.
MR.83h: 28004.
21. “ Non-cooperative n-person game with a stopped set ” (with K. Tanaka), J. Math. Anal. Appl.,
85 (1982), pp. 153-171. MR.83e: 93037b. (SCI)
22. “ A two-person zero-sum game with a stopped set ” (with K. Tanaks), J. Math. Anal. Appl., 86
(1982), pp. 54-68. MR.83e: 93037a. (SCI)
23. “Saddle point and duality in the optimization theory of convex set functions” (with S. S. Yang),
J. Austral. Math. Soc. (Ser. B), 24 (1982), pp. 130-137. MR.84i: 49063. (SCI)
24. “ Error bounds of Newton type process on Banach spaces ” (with P.Y. Wu), Numerishe Math.,
39 (1982), pp. 175-193. MR.83j: 65067. (SCI)
25. “Multiplier algebra of C * -envelope and the C * -envelope of a multiplier algebra”, Proc. Japan
Acad. (Ser. A, Math. Sci), 58 (1982), pp. 365-368. MR.84d: 46090. (SCI)
26. “A note on non-cooperative N-person game with a stopped set ” (with T.S. Cheng), Soochow J.
Math., 8 (1982), pp. 31-36. MR.85a: 93140.
27. “Duality in mathematical programming of set functions-On Fenchel duality theorem” (with S.S.
Yang and G.R. Hwang), J. Math. Anal. Appl., 95 (1983), pp. 233-234. MR.85d: 90078. (SCI)
28. “Conjugate operators and subdifferentials for convex operators in ordered vector spaces”,
Soochow J. Math., 9 (1983), pp. 127-135. MR.86a: 58010.
29. “A noncooperative n-person semi-Markov game with a separable metric state space” (with K.
Tanaka), Appl. Math. Optim., 11 (1984), pp. 23-42. MR.86a: 90068984. (SCI)
30. “On an n-person non-cooperative Markov game with a metric state space” (with K. Tanaka), J.
Math. Anal. Appl., 101(1984), pp. 78-96. MR.85i: 90151. (SCI)
31. “A
metric
group
based
on
a
measure
2
space”
(with
S.Koshi),
Mathematical
Structures-Computational Mathematics-Mathematical Modeling, Bulgaria Academy of
Science, (1984), pp. 227-232. MR. 86m: 22002.
32. “ Multipliers for some spaces of Banach algebra valued functions ”, Rocky Mountain J. Math.,
15(1985), pp. 157-166 MR.86i:43004. (SCI)
33. “ Convex programming on spaces of measurable functions ” (with S. Koshi and N. Komuro),
Hokkaido Math. J., 14(1985), pp. 75-84.MR.86h: 90078.
34. “Multipliers of Banach valued function spaces”, J. Austral. Math. Soc. (Ser. A) , 39(1985), pp.
51-62 MR.86h:46060. (SCI)
35. “Duality of Banach function spaces and the Radon Nikodym property”, Acta Math. (Hung.),
47(1-2), pp. 45-52 (1986). MR.87g: 46034. (SCI)
36. “ On a D-convex solution of a cooperative m-person discounted Markov game ” (with K.
Tanaka), J. Math. Anal. Appl., 115 (1986), pp. 578-591. MR.87i: 90385. (SCI)
37. “On the multipliers of the p-class Banach algebras in H*-algebra” (with Y.C. Yeh) Tamkang J.
Math., 17(1986), pp. 71-85. MR.88c: 46066.
38. “The extremal identity of a dual programming for convex operators in ordered complete Riesz
space “, Proc. Nat. Sci. Council, ROC, part A., 10(1986), No.2, pp.117-122. (EI)
39. “ Duality theorem of nondifferentiable convex multiobjectiver programming ” (with C.P. Ho), J.
Optim. Theory Appl., 50 (1986), No.3, pp.407-420. MR.87i: 90276. (SCI)
40. “ Secant method for operator equations on Banach space ” (with C.Y. Lee), Math. Japonica, 31
(1986), No. 5, pp.721-739. MR.88g: 65054.
41. “On the linear algebra of generalized stochastic matrices and their equivalent relation and
permutation basis”, Japan J. Appl. Math., 3 (1986), No. 2, pp. 367-379. MR.88g: 15015. (SCI)
42. “An n-person noncooperative discounted vector valued dynamic game with a stopped set ” (with
K. Tanaka), J. Comp. Math. Appl., 13 (1987), No.1-3, pp. 227-237. (SCI)
MR.88h: 90264.
43. “A vector-minimization problem in a stochastic continuous-time n-person game” (with K.
Tanaka), Nonlinear and Convex Analysis, Proceed in Honor of Ky Fan. Ed. by B-L Lin and S.
Simons, Marcel Dekker Inc., Lecture Notes in Pure and Applied Mathematics Vol. 107
(1987), pp. 151-165. MR.88g: 90165.
44. “An N-person noncooperative discounted vector-valued dynamic game with a metric space”
(with K. Tanaka), Appl. Math. Optim., 16 (1987), pp. 135-146. MR.88i: 90179. (SCI)
45. “ The Fenchel-Moreau theorem for set functions ” (with L.J. Lin), Proc. Amer. Math. Soc., 103
(1988), No. 1, pp. 85-90. MR.90i: 26014. (SCI)
46. “ Moreau-Rockafellar type theorem for convex set functions ” (with L.J. Lin), J. Math. Anal.
Appl., 132 (1988), pp. 558-571. MR.89g: 90239. (SCI)
3
47. “ Translation invariant operators and multipliers of Banach-valued function spaces ”,
Proceedings of analysis Conference, Singapore 1986, Eds. Stephen Choy, Judith Jesudason and
P.Y. Lee, Elsevier Sc.Publ. , North-Holland, (1988), pp. 151-162. MR.89b: 43002.
48. “ Multipliers and translation invariant operators” (with Tsu-Kung Chang), Tohoku Math. J., 41
(1989), pp. 31-41. MR.90f: 43008. (SCI)
49. “ Strong Duality for infinite-dimensional vector-valued programming problems ” (with L.S.
Yang), J. Optim. Theory Appl., 62 (1989), pp. 449-466. MR.91g: 90 135. (SCI)
50. “ A necessary and sufficient condition of convex multiobjective programming ” (with J.C. Liu),
Tamkang J. Math., 20 (1989), No. 1, pp. 7-17. MR.91h: 90090.
51. “Optimality for set functions with values in ordered vector spaces ” (with L.J. Lin), J. Optim.
Theory Appl., 63 (1989), pp. 371-389. MR. 91c:90121. (SCI)
52. “Optimization for integral functionals”, Numer. Funct. Anal. and Optimiz.,10(11&12) (1989),
pp. 1139-1159. MR.91d: 49039. (SCI)
53. “ Optimization theory for infinite dimensional set functions ”, Approximation Optimization and
Computing: Theory and Applications A.G. Law and C.L. Wang (Eds.), Elsevier Sci. Publ.,
North-Holland, IMACS. (1990), pp. 13-21.
54. “ On continuous time discounted stochastic dynamic programming ” (with K. Tanaka), J. Appl.
Math, Optim., 23 (1991), pp. 155-169. MR.92g: 90118. (SCI)
55. “Differentiability and duality for integral functions”, Proceedings of the International
Conference on Nonlinear Functional Analysis and Its Applications 1989, Taipei (Eds. F. C.
Liu and T. P. Liu), World Scientific, (1991), pp. 61-83. MR.92f: 46057.
56. “Average-time criterion for vector-valued Markovian systems” (with K. Tanaka), Nihonkai
Math. J., 2 (1991), pp. 71-91. MR.92e: 90111.
57. “Optimality conditions for Lipschitz functions on Banach spaces”, Nihonkai Math. J., 2 (1991),
pp. 99-115. MR.92g: 49014.
58. “Generalized gradient for integral functionals”, Proceedings of International Symposium on
Functional Analysis and Related Topics, August/September 1990, Japan, (Ed. S. Koshi), World
Scientific, (1991), pp. 117-126. MR.93a: 46085.
59. “Inequality systems and optimization for set functions in order vector spaces”, International
Symposium in Memory of Hua Loo Keng, Vol. II (Analysis). Springer-Verlag, Berlin, (1991),
pp. 181-191. MR.92k: 90076.
4
60. “Subdifferential and conjugate functions for integral functionals”, Proceedings of the
International Workshop in Analysis and Its Applications, Novisad, Yogosolovia, (1991), pp.
205-271.
61. “Extremal points and optimal solutions for general capacity problems” (with S.Y. Wu), Math.
Program. (Series A), 54 (1992), pp. 87-113. MR.93g: 90086. (SCI)
62. “Some properties of Fourier transform for operators on homogeneous Banach spaces” (with C.H.
Chen), Hokkaido Math. J., 21 (1992), pp. 259-271. MR.93h: 43004.
63. “ On linear semi-infinite programming problems An algorithm ” (with S.Y. Wu), Numer. Funct.
Anal. and Optimiz., 13(3/4) (1992), pp. 287-304. MR.94b: 90084. (SCI)
64. “ Multipliers in continuous vector-valued function spaces ” (with J.C. Candeal), Bull. Austral.
Math. Soc. 46 (1992), No. 2, pp. 199-204. MR.93j: 46041. (SCI)
65. “Integral representations and convergences for Banach-valued multifunctions”, Proceedings of
the International Conference of Second Fixed Point Theory and Applications, World
Scientific, (1992), pp. 169-188. MR.93i: 28007.
66. “ Integration Theory for Banach-valued multifunctions ” (with J.C. Lee), Indian J. Math., 34
(1992), pp. 265-284 (Appeared in August 1993). MR.95j: 28010.
67. “ Convergent Theorems and Lp-selections for Banach-valued multifunctions ” (with J.C. Lee),
Nihonkai Math. J., 4 (1993), No. 2, pp. 163-180.
68. “Functional representations of bounded linear operators”, SEA Bull. Math. Special Issue (1993),
pp. 49-64. MR.94k: 47047.
69. “Optimization for integral functions and Eular-Lagrange”, Tunghai Journal of Science, 34
(1993), pp. 821-836.
70. “Alternative theorems and Saddlepoint results for convex programming problems of set function
with values in ordered vector spaces” (with P. Szilagyi), Acta Math. (Hung.), 63 (1994), No. 3,
pp. 231-241. MR.95a: 90202. (SCI)
71. “Linear programming in measure spaces”, (International Journal on) Optimization, 29 (1994),
pp. 141-156. MR.95e: 90055. (SCI)
72. “Theory and Algorithm of measure programming problems”, Proceedings of the Second
International Colloqim on Numerical Analysis, (Aug. 1993), Plovdiv, Sofia, Bulgaria, (1994),
pp. 45-64.
73. “ On p-summable functional representations for linear operators ”, Soochow Journal Math., 20
(1994), No. 4, pp. 489-505. MR.95k: 47030.
74. “Multipliers in vector-valued function spaces under convolution” (with J.C. Candeal), Acta
Math. (Hung.), 67(3)(1995), pp. 175-192. MR.96e: 43003. (SCI)
5
75. “Mathematical model on vector-valued decision systems”, Tunghai Journal of Science, 36(2)
(1995), pp.117-125.
76. “ Moreau-Rockafellar model type theorems for generalized subgradient operators” (with J.W.
Chen), Nihonkai Math. Journal, 7(2) (1996), pp. 155-176. MR.97k: 49027.
77. “Moreau-Rockafellar type theorems for nonconvex and non-locally Lipschitz integral functional
on Lp (T , X ) ” (with J.W. Chen) Optimization, 39 (1997), pp.103-122. MR.98c: 49041. (SCI)
78. “Upper limit of sets and continuous mappings” (with J.C. Lee), Far East J. Math. Sci, 5 (1997),
No. 4, pp. 505-514. MR.99b: 54017.
79. “Multiobjective programming of set functions”, Nonlinear Analysis and Convex Analysis,
RIMS Kokyuroku, 985 (1997), pp. 118-131.
80. “ On the generalized Euler-Lagrange equations ” (with J.W. Chen), J. Math. Anal. Appl., 213
(1997), pp. 681-697. MR.98h: 49021. (SCI)
81. “Optimality conditions of semi-invex programming”, Taiwanese J. Math. Vol. 1, No. 4 (1997),
pp. 389-404. MR.98j: 90060. (SCI)
82. “Optimality conditions for multiobjective programming with generalized (,,)-convex set
functions ” (with J.C. Liu), J. Math. Anal. Appl., 215 (1997), pp. 443-460. MR.99b: 90110.
(SCI)
83. “ Variational problem related optimal control ” (with J.W. Chen), Proc. Natl. Sci. Council,
R.O.C. (Taiwan) (A) Vol. 22, No. 2 (1998), pp. 163-170. (EI)
84. “Integral functional and Euler-Lagrange inclusion “, Nonlinear Analysis and Convex Analysis,
RIMS Kokyuroku, 1031 (1998), pp. 14-28. MR.99j: 49052.
85. “Generalized gradients and mean value theorems in Banach spaces” (with J.W. Chen and P.C.
Liu), Far East J. Math. Sciences, Vol. 1, No. 1 (1999), pp. 1-16. MR.2000f: 49016.
86. “ Duality without a constraint qualification for minimax fractional programming ” (with J.C. Liu
and K. Tanaka), J. Optimiz. Theory and Appl., Vol. 101, No. 1 (1999), pp. 109-125. MR.2000d:
90084. (SCI)
87. “ Programming problem involving generalized convex set functions ”, Proceedings of the
International Conference on Nonlinear Analysis and Convex Analysis, (Niigata, Japan, 28-31
July 1998), Eds. W. Takahashi and T. Tanaka, World Scientific Publisher 1999, pp.34-43.
88. “ Duality for a minimax programming problem containing n-set function ” (with J.C. Liu), J.
Math. Anal. Appl., 229 (1999), pp. 587- 604. MR.99j: 90072. (SCI)
6
89. “Necessary and sufficient conditions for minimax fractional programming” (with J.C. Liu and K.
Tanaka), J. Math. Anal. Appl., 230 (1999), pp.311-328. MR.99m: 90140. (SCI)
90. “ On minimax fractional programming of generalized convex set functions ” (with J.C. Liu), J.
Math. Anal. Appl., 244(2000), 442-465. MR.2001c: 90078. (SCI)
91. “ Set-valued mapping on LCA group and approximate identity ” (with J.C. Lee), in Proceeding
of the Second ISAAC Congress, (Eds. H. G. W. Begehr et al.), Vol. 1, 581-584, 2000 Kluwer
Academic Publishers, Netherlands.
92. “Complex fractional programming involving ( L ,ρ, θ) -convex analytic functions ”, in
Proceeding of the Second ISAAC Congress (Eds. H. G. W. Begehr et al. Eds. H. G. W. Begehr
et al.), Vol. 2, 1447-1457, 2000 Kluwer Academic Publisher, Netherlands.
93. “Semilocally convex programming in ordered vector spaces” (with J.C. Lee), Tamsui Oxford
Journal of Math. Sci., 16 (2) (2000), 151-168.
94. “ Duality for fractional complex programming with generalized convexity ” (with J.C. Lee and
J.C. Liu), J. Nonlinear and Convex Analysis, 2 (2001), 175-191.
95. “Complex fractional programming involving generalized quasi/pseudo convex functions” (with
J.C. Liu), Z. Angew. Math. Mech. (ZAMM.), 82 (2002)3, 159-166. (SCI)
96. “ On duality theorems for a nondifferentiable minimax fractional programming ” (with J.C.
Lee), J. Comput. Appl. Math., 146 (2002) 115-126. (SCI)
97. “Nondifferentiable fractional programming in Complex spaces involving ( L ,ρ, θ) -convex
analytic functions “ (with J.C. Liu), Indian J. Pure. Appl. Math., 33(6) (2002), 917-932. (SCI)
98. “Optimization Analysis involving set functions” (with J.C. Chen), Applied Math. E-Notes,
2(2002), 78-97.
99. “Conditions for zero duality gap of nonconvex programming” (with J.C. Chen), Proceedings of
the 6thWorld Multiconference on Systems, Cybernetics and Informatics. Orlando, Florida, USA,
Ed. Nagib Callaos, et al. Vol. XVI, Computer Science III, July, 2002, 1-6.
100. “On a dynamic fractional game”, RIMS Kokyuroku, 1298 (2002), 151-160.
101. “Minimax fractional programming involving generalized invex functions” (with J.C. Liu), The
ANZIAM J. (Austral. New Zeland Ind. Appl. Math. J.), 44 (2003), 339-354. (SCI)
102. “Fractional programming for variational problem with generalized invexity”, Proceedings of
the 2nd International Conference (Hirosaki, 2001) on Nonlinear Analysis and Convex Analysis,
Yokohama Publishers Inc. 2003, 247-255.
103. “Fractional programming for variational problem with (F,ρ,θ)-invexity”, J. Nonlinear and
Convex Analysis, Vol.4, no.1 (2003), 25-41.
104. “On a dynamic fractional game”, J. Math. Anal. Appl. Vol 294 (2004), 644-654. (SCI)
105. “Optimality conditions for minimax programming of analytic functions” (with J.C. Chen),
7
Taiwanese J. Math., Vol. 8, (4) (2004), 673-686. (SCI)
106. “Parameter-free dual models for fractional programming with generalized invexity” (with J. C.
Lee), Annals of Operation Research, 133(2005),47-61. (SCI)
107. “Complex fractional programming and the Charnes-Cooper transformation”, (with J. C. Chen
and S. Schaible), J. Optimiz. Theory and Appl., Vol.126, No.1 (2005),203-213. (SCI)
108. “Mixed type duality in mathematical programming involving generalized convex set
functions”, RIMS. Kokyuroku, 1415(2005), 1-10.
109. “Parametric duality on minimax programming involving generalized convexity in complex
spaces” (with J.-C. Lee and S.-C. Ho), J. Math. Anal. Appl. 323 (2006), 1104-1115. (SCI)
110. “Optimization theory for set functions related to duality theorems on Fractional set Functions”,
37th Annual Iranian Mathematics Conference, Sept. 2006, pp. 586-589.
111. “Sufficiency and duality of variational fractional programming with generalized invexity”,
Taiwanese J. Math. 10(6) (2006), 1685-1695. (SCI)
112. “Duality of Fractional integral programming with generalized invexity” (H.C.Lai), RIMS
Kokyuruku, 1544(2007), 111-118.
113. “Complex minimax fractional programming of analytic functions” (H. C. Lai, J. C. Liu and S.
Schaible), J. Optimiz. Theory Appl., 2007. Dec. on line. DOI 10.1007/s10957-007-9332-8.
(SCI)
114. “Minimax fractional programming for n-set functions and a mixed type duality under
generalized invexity” (with Huang, T. Y. ), J. Optimiz. Theory Appl. 138(3) (Sep.2008) (SCI)
115. “Optimization Theory for Set Functions in Nondifferentiable Fractional Programming with
Mixed Type Duality”, (with T.Y. Huang and S. SCHAIBLE )Taiwanese Journal of
Mathematics, appear in 2008. (SCI)
116. “Nondifferentiable Minimax Fractional Programming Problems”, (with J. C. LIU and S.
SCHAIBLE), Journal of Global Optimization, appear in 2008. (SCI)
117. “Optimality Conditions for a Nondifferentiable Minimax Programming in Complex Spaces”,
(with T.Y. Huang), Nonlinear Analysis: Theory. Methods & Applications, appear in 2008.
(SCI)
8
近五年內著作(2003-2008)
賴漢卿 (Hang-Chin Lai)
A 期刊論文
1. (101)(2003)
2.
(103)(2003)
3. (104)(2004)
4. (105)(2004)
5. (106)(2005)
6. (107)(2005)
論文
“ Minimax fractional programming involving generalized invex
functions ” (with J.C. Liu),
The ANZIAM Journal, 44(3)(2003), 339-354
(SCI)
Fractional programming for variational problem with
(F,ρ,θ)-invexity (with J.C. Chen), J. Nonlinear and Convex
Analysis, vol.4, no.1 (2003), 25-41.
On a dynamic fractional game, J. Math. Anal. Appl. Vol 294
(2004), 644-654
Optimality conditions for minimax programming of analytic
functions (with J.C. Chen), Taiwanese Journal of Mathematics,
Vol. 8, N0.4, (2004), 673-686.
Parameter-free dual models for fractional programming with
generalized invexity (with J. C. Lee), Annals of Operation
Research, 133(2005), 47-61..
Complex fractional programming and the Charnes-Cooper
transformation, (with J. C. Chen and S. Schaible), Journal of
Optimization Theory and Applications, Vol.126, No.1,
(2005),203-213.
7. (108)(2005)
Mixed type duality in mathematical programming involving
generalized convex set functions, RIMS. Kokyuroku,
1415(2005), 1-10.
8. (109)(2006)
Parametric duality on minimax programming involving
generalized convexity in complex spaces (with J.-C. Lee and
S.-C. Ho), J.Math.Anal.Appl. 323 (2006), 1104-1115.
9. (110)(2006)
Optimization theory for set functions related to duality
theorems on Fractional set Functions, 37th Annual Iranian
Mathematics Conference, Sept. 2006, pp. 586-589.
(SCI)
(SCI)
(SCI)
(SCI)
(SCI)
(SCI)
10. (111)(2006)
“Sufficiency and duality of variational fractional programming
with generalized invexity”, Taiwanese J. Math. 10(6) (2006),
1685-1695.
(SCI)
11. (112)(2007)
“Duality of Fractional integral programming with generalized
invexity” (H.C.Lai), RIMS Kokyuruku, 1544(2007), 111-118.
(SCI)
9
12. (113)(2007)
“Complex minimax fractional programming of analytic
functions” (H. C. Lai, J. C. Liu and S. Schaible), J. Optimiz.
Theory
Appl.,
2007.
Dec.
on
line.
DOI
10.1007/s10957-007-9332-8.
(SCI)
13. (114)(2008)
“Minimax fractional programming for n-set functions and a
mixed type duality under generalized invexity” (with Huang, T.
Y. ), J. Optimiz. Theory Appl. 138(3) (Sep.2008)
“Optimization Theory for Set Functions in Nondifferentiable
Fractional Programming with Mixed Type Duality”, (with T.Y.
Huang and S. SCHAIBLE )Taiwanese Journal of
Mathematics, appear in 2008.
(SCI)
14. (115)(2008)
(SCI)
15. (116)(2008)
“Nondifferentiable Minimax Fractional Programming Problems”, (SCI)
(with J. C. LIU and S. SCHAIBLE), Journal of Global
Optimization, appear in 2008.
16. (117)(2008)
“Optimality Conditions for a Nondifferentiable Minimax
Programming in Complex Spaces”, (with T.Y. Huang),
Nonlinear Analysis: Theory. Methods & Applications, appear
in 2008.
10
(SCI)
曾獲得之國內外學術獎及其他學術榮譽之名稱及年度:
賴漢卿 (Hang-Chin Lai)
1.
2.
3.
4.
5.
6.
(1970)
(1974)
(1983)
(1984)
(1985)
(1987)
中山學術著作獎（理科）
徐氏科學獎（理科得獎人）
中山學術著作獎（理科）
金鼎獎（數學辭典主編）（行政院新聞局頒）
教育部學術獎（第 30 屆理科得獎人）
傑出教學獎（清華大學）
國家科學委員會優等獎四次
1988 年
1990 年
1991 年
1992 年
1.
2.
3.
4.
(在清大)
(在清大)
(在清大)
(在清大)
國科會優等獎
國科會優等獎
國科會優等獎
國科會優等獎
國家科學委員會研究獎
序號
學年度
服務學校
獎勵類別
1
75
清華大學
甲種
2
76
清華大學
甲種
3
77
清華大學
優等
4
78
清華大學
甲種
5
79
清華大學
優等
6
80
清華大學
優等
7
81
東海大學
優等
8
82
東海大學
甲種
9
83
東海大學
甲種
10
84
義守大學
甲種
11
85
義守大學
甲種
12
86
義守大學
甲種
13
87
義守大學
甲種
14
88
義守大學
甲種
11
專業學術期刊編輯及審查委員
賴漢卿 (Hang-Chin Lai)
編號
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
學術期刊名稱
Journal of
Nonlinear and
Convex Analysis,
An International
Journal
Souchou Journal
of Maths.
Mathematical
Methods of
Applied Science
Journal of Math.
Analysis and
Applications
European J. of
Operational
Research
Australian
JMAA
Tansiu Oxtord
Journal of
Mathematical
Science
Journal of Global
Optimization
出版地
Japan
出版單位
Yokohama
Publishers
擔任職務
Editor
Referee
年度
台灣
東吳大學
Editor
2006
U.S.A
佛羅里達大學
Referee
2006
U.S.A.
Elsevier
Referee
2006&2007
德國
Elsevier
Referee
2006&2007
Referee
2006&2007
Journal of
Optimiz. Theory
appl.
Taiwanese
Journal of
Mathematics
澳洲
2006
台灣
真理大學
Editer
Referee
2006&2007
U.S.A.
佛羅里達大學
Referee
2006&2007
U.S.A.
Rice 大學
Referee
2006&2007
台灣
台灣數學學會
Referee
2006&2007
12