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A subgradient duality theorem. (English) Zbl 0369.90104


MSC:

90C30 Nonlinear programming
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References:

[1] Bhatia, D., A note on a duality theorem for a nonlinear programming problem, Management Sci., 16, 604-606 (1970) · Zbl 0218.90053
[2] Geoffrian, A. M., Duality in nonlinear programming: A simplified applications oriented development, SIAM Rev., 13, 1-37 (1971) · Zbl 0232.90049
[3] Mond, B., A class of non-differentiable mathematical programming problems, J. Math. Anal. Appl., 46, 169-174 (1974) · Zbl 0276.90058
[4] Mond, B.; Schechter, M., A programming problem with an \(L_p\) norm in the objective function, J. Australian Math. Soc., Vol. XIX, 333-342 (1976), (Series B), part 3 · Zbl 0362.90102
[5] Rockafellar, T., Convex Analysis (1969), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J · Zbl 0186.23901
[6] Rockafellar, T., Conjugate Duality and Optimization, (CBMS Regional Conf. Series No. 16 (1974), Soc. Indust. Appl. Math: Soc. Indust. Appl. Math Philadelphia) · Zbl 0296.90036
[7] Schechter, M., A solvability theorem for homogeneous functions, SIAM J. Math. Anal., 7, 696-701 (1976) · Zbl 0341.90043
[8] Wolfe, P., A duality theorem for nonlinear programming, Quart. Appl. Math., 19, 239-244 (1961) · Zbl 0109.38406
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