Duality in mathematical programming in complex space. Converse theorems

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  • Dorel I. Duca "Babeş-Bolyai" University, Cluj-Napoca, Romania
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References

Abrams, Robert A., Nonlinear programming in complex space: sufficient conditions and duality. J. Math. Anal. Appl. 38 (1972), 619-632, MR0378817, https://doi.org/10.1016/0022-247x(72)90073-x

Ben-Israel, Adi, Linear equations and inequalities on finite dimensional, real or complex, vector spaces: A unified theory. J. Math. Anal. Appl. 27 1969 367-389, MR0242865, https://doi.org/10.1016/0022-247x(69)90054-7

Craven, B. D., Mond, B., Converse and symmetric duality in complex nonlinear programming. J. Math. Anal. Appl. 37 (1972), 617-626, MR0312910, https://doi.org/10.1016/0022-247x(72)90244-2

Duca, Dorel, Constraint qualifications in nonlinear programming in complex space. Studia Univ. Babeş-Bolyai Math. 23 (1978), no. 1, 61-65, MR0496677.

Duca, Dorel I., Necessary optimality criteria in nonlinear programming in complex space with differentiability. Anal. Numér. Théor. Approx. 9 (1980), no. 2, 163-179 (1981), MR0651772.

Duca, Dorel I., On sufficient optimality conditions in nonlinear programming in complex space. Mathematica (Cluj) 22(45) (1980), no. 2, 263-267, MR0648872.

Duca, D.I., Programare matematică în domeniul complex, Teză de doctorat, Universitatea din Cluj-Napoca, Cluj-Napoca, 1981 (in Romanian).

Levinson, Norman, Linear programming in complex space. J. Math. Anal. Appl. 14 1966 44-62, MR0225569, https://doi.org/10.1016/0022-247x(66)90061-8

Mahajan, D. G., Vartak, M. N., Duality for generalized problems in complex programming. Bull. Austral. Math. Soc. 14 (1976), no. 1, 11-22, MR0401161.

Mond, B., Craven, B. D., Sufficient optimality conditions for complex programming with quasi-concave constraints. Math. Operationsforsch. Statist. Ser. Optimization 8 (1977) no. 4, 445-453, MR0469275, https://doi.org/10.1080/02331937708842441

Parida, J., On converse duality in complex nonlinear programming. Bull. Austral. Math. Soc. 13 (1975), no. 3, 421-427, MR0398528, https://doi.org/10.1017/s0004972700024667

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Published

1984-02-01

How to Cite

Duca, D. I. (1984). Duality in mathematical programming in complex space. Converse theorems. Anal. Numér. Théor. Approx., 13(1), 15–22. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1984-vol13-no1-art3

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Vol. 13 No. 1 (1984)

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