참고문헌
- C. R. Bector, S.Chandra and I. Husain, Generalized concavity and duality in continuous programming, Utilitas, Mathematica 25 (1984), 171-190.
- C. R. Bector and I. Husain, Duality for multiobjective variational problems, Journal of Math. Anal and Appl. 166 (1992), no.1, 214-224. https://doi.org/10.1016/0022-247X(92)90337-D
- S. Chandra, B. D. Craven and I. Husain, A class of nondifferentiable continuous programming problem, J. Math. Anal. Appl. 107 (1985) 122-131. https://doi.org/10.1016/0022-247X(85)90357-9
- V. Chankong and Y. Y. Haimes, Multiobjective Decision Making: Theory and Methodology, North-Holland, New York, (1983).
- M. A. Hanson, Bonds for functionally convex optimal control problems:, J. Math. Anal. Appl. 126 (1987) 469-477. https://doi.org/10.1016/0022-247X(87)90054-0
- I. Husain and Z. Jabeen, On variational problems involving higher order derivatives, J.Math. and Computing Vol. 27 (2005), No. 1-2,433-455.
- I. Husain, A. Ahmed and Rumana, G.Mattoo, Optimality criteria and duality in multiobjective variational problems involving higher order derivatives, Submitted for publication.
- I. Husain and Rumana, G. Mattoo, Multiobjective duality in variational problems with higher order derivatives, Submitted for publication.
- B. Mond and I. Smart, Duality with invexity for a class of nondifferentiable static and continuous programming problems, J.Math. Anal. Appl. 136 (1988) 325-333. https://doi.org/10.1016/0022-247X(88)90135-7
- B. Mond and M. A. Hanson, Duality for variational problems, J.Math. Anal. Appl.18 (1967) 355-364 https://doi.org/10.1016/0022-247X(67)90063-7
- B. Mond, S. Chandra and I. Husain, Duality of variational problems with invexity, J.Math.Anal. Appl. 134 (1988) 322-328. https://doi.org/10.1016/0022-247X(88)90026-1
- F. A. Valentine, The problem of Lagrange with differential inequalities as added side conditions, Contributions to calculus of variations, 1933-37, Univ. of Chicago Press, 1937, 407-448.
- Z. Xu, Mixed type duality in multiobjective programming problems, Journal of Mathematical Analysis and Applications, 198 (1996), 621-635. https://doi.org/10.1006/jmaa.1996.0103
- J. Zhang and B. Mond, Duality for a non-differentiable programming problem, Bull. Austral. Math. Soc Vol. 55 (1997) 29-44. https://doi.org/10.1017/S0004972700030513