1 |
Y. Sawaragi, H. Nakayama, and T. Tanino, Theory of Multiobjective Optimization, Academic Press, Inc., 1985
|
2 |
A. Brondsted and R. T. Rockafellar, On the subdifferentiability of convex functions, Proc. Amer. Math. Soc. 16 (1965), 605-611
DOI
|
3 |
B. M. Glover, V. Jeyakumar, and A. M. Rubinov, Dual conditions characterizing optimality for convex multi-objective programs, Math. Program. 84 (1999), no. 1, Ser. A, 201-217
DOI
|
4 |
T. R. Gulati and M. A. Islam, Efficiency in linear fractional vector maximization problem with nonlinear constraints, Optimization 20 (1989), no. 4, 477-482
DOI
ScienceOn
|
5 |
T. R. Gulati and M. A. Islam, Efficiency and proper efficiency in nonlinear vector maximum problems, European J. Oper. Res. 44 (1990), no. 3, 373-382
DOI
ScienceOn
|
6 |
L. Thibault, Sequential convex subdifferential calculus and sequential Lagrange multipliers, SIAM J. Control Optim. 35 (1997), no. 4, 1434-1444
DOI
ScienceOn
|
7 |
K. L. Chew and E. U. Choo, Pseudolinearity and efficiency, Math. Program. 28 (1984), no. 2, 226-239
DOI
|
8 |
E. U. Choo, Proper efficiency and the linear fractional vector maximum problem, Oper. Res. 32 (1984), 216-220
DOI
ScienceOn
|
9 |
H. W. Corley, A new scalar equivalence for Pareto optimization, IEEE Trans. Automat. Control 25 (1980), no. 4, 829-830
DOI
|
10 |
M. Ehrgott, Multicriteria Optimization, Lecture Notes in Economics and Mathematical Systems 491, Springer-Verlag Berlin Heidelberg, 2000
|
11 |
J. B. Hiriart-Urruty and C. Lemarechal, Convex Analysis and Minimization Algorithms, Volumes I and II, Springer-Verlag, Berlin Heidelberg, 1993
|
12 |
H. Isermann, Proper efficiency and the linear vector maximum problem, Oper. Res. 22 (1974), no. 1, 189-191
DOI
ScienceOn
|
13 |
J. Jahn, Mathematical Vector Optimization in Partially Ordered Linear Spaces, Verlag Peter D. Lang, Frankfurt am Main, Germany, 1986
|
14 |
V. Jeyakumar, Asymptotic dual conditions characterizing optimality for convex programs, J. Optim. Theory Appl. 93 (1997), no. 1, 153-165
DOI
ScienceOn
|
15 |
V. Jeyakumar, G. M. Lee, and N. Dinh, New sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs, SIAM J. Optim. 14 (2003), no. 2, 534-547
DOI
ScienceOn
|
16 |
V. Jeyakumar, G. M. Lee, and N. Dinh, Solution sets of convex vector minimization problems, to appear in European J. Oper. Res
|
17 |
G. M. Lee, On efficiency in nonlinear fractional vector maximization problem, Optimization 25 (1992), no. 1, 47-52
DOI
|
18 |
V. Jeyakumar, A. M. Rubinov, B. M. Glover, and Y. Iskizuka, Inequality systems and global optimization, J. Math. Anal. Appl. 202 (1996), no. 3, 900-919
DOI
ScienceOn
|
19 |
V. Jeyakumar and A. Zaffaroni, Asymptotic conditions for weak and proper optimality in infinite dimensional convex vector optimization, Numer. Funct. Anal. Optimiz. 17 (1996), no. 3-4, 323-343
DOI
ScienceOn
|