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Linear programs in topological vector spaces. (English) Zbl 0235.90037


MSC:

90C48 Programming in abstract spaces
90C05 Linear programming
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[1] Ben-Israel, A.; Charnes, A., On the intersection of cones and subspaces, Bull. Amer. Math. Soc., 74, 541-544 (1968) · Zbl 0159.41501
[2] Ben-Israel, A.; Charnes, A.; Kortanek, K. O., Duality and asymptotic solvability over cones, Bull. Amer. Math. Soc., 75, 318-324 (1969) · Zbl 0187.17504
[3] Ben-Israel, A.; Charnes, A.; Kortanek, K. O., Erratum to duality and asymptotic stability over convex cones, Bull. Amer. Math. Soc., 76, 426 (1970)
[4] Dantzig, G. B., Linear Programming and Extensions (1963), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J · Zbl 0108.33103
[5] Duffin, R. J., Infinite programs, (Kuhn, H. W.; Tucker, A. W., Linear Inequalities and Related Systems (1965), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J), 157-170 · Zbl 0072.37603
[6] Fan, Ky, A generalization of the Alaouglu-Bourbaki theorem, Math. Z., 88, 48-60 (1965) · Zbl 0135.34402
[7] Kortanek, K. O.; Soyster, A. L., A Note on Refinements of Some Duality Theorems in Linear Programming over Cones, (Institute of Physical Planning Report No. 9 (1970), Carnegie-Mellon University: Carnegie-Mellon University Pittsburgh, Pa) · Zbl 0237.90039
[8] Hurwicz, L., Programming in linear spaces, (Arrow, K. J.; Hurwicz, L.; Uzawa, H., Studies in Linear and Non-Linear Programming (1958), Stanford Univ. Press: Stanford Univ. Press Stanford, Calif), 38-102 · Zbl 0091.16002
[9] Kothe, G., Topologische Linear Raume l (1960), Springer-Verlag: Springer-Verlag Berlin · Zbl 0093.11901
[10] Kretschmer, K. S., Programming in paired spaces, Can. J. Math., 13, 221-238 (1961) · Zbl 0097.14705
[11] Schechter, M., Duality in continuous linear programming, J. Math. Anal. Appl., 36 (1971)
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