Dualität bei Optimierungsaufgaben in halbgeordneten topologischen Vektorräumen (II)

Duality in optimization problems in partially ordered topological vector spaces (II)

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  • W. W. Breckner "Babeş Bolyai" Universtiy, Cluj, Romania

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https://doi.org/10.33993/jnaat21-8
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References

Arrow, Kenneth J., Hurwicz, Leonid, Uzawa, Hirofumi, Studies in linear and non-linear programming. With contributions by H. B. Chenery, S. M. Johnson, S. Karlin, T. Marschak, R. M. Solow. Stanford Mathematical Studies in the Social Sciences, vol. II. Stanford University Press, Stanford, Calif. 1958 vii+229 pp., MR0108399.

Breckner, Wolfgang W., Dualität bei Optimierungsaufgaben in halbgeordneten topologischen Vektorräumen. (I), Revue d' analyse. numerique et de la theorie de l'approximation 1, 5-35, (1972)

Breckner, W. W., Kolumban, I., Dualität bei Optimierungsaufgaben in topologischen Vektorräumen, Mathematica 10 (33), 229-244, (1968).

Breckner, W. W. Kolumbán, I., Konvexe Optimierungsaufgaben in topologischen Vektorräumen. Math. Scand. 25, 227-247,(1969). MR0270239, (German) https://doi.org/10.7146/math.scand.a-10959 DOI: https://doi.org/10.7146/math.scand.a-10959

Collatz, L., Wetterling, W., Optimierungsaufgaben.2. Auflage. Berlin-Heidelberg-New York: Springer-Verlag, 1971. DOI: https://doi.org/10.1007/978-3-642-65286-8

Dieter, U., Optimierungsaufgaben in topologischen Vektorräumen. I. Dualitätstheorie. (German) Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 5 1966 89-117, MR0205683, https://doi.org/10.1007/bf00536646 DOI: https://doi.org/10.1007/BF00536646

Fenchel, W., Convex cones, sets and fucntions. Lecture notes. Princeton University 1953.

Karlin, S., Mathematical methods and theory in games, programming and economics. Vol. I: Matrix games, programming, and mathematical economics. Vol. II: The theory of infinite games. Addison-Wesley Publishing Co., Inc., Reading, Mass.-London 1959 Vol. I, x+433 pp. Vol. II, xi+386 pp. (Reviewer: R. D. Luce) 90.00, MR0111634.

Köthe, G., Topologisch lineare Räume. I. Zweite verbesserte Auflage. Die Grundlehren der Mathematischen Wissenschaften, Band 107 Springer-Verlag, Berlin-New York 1966 xii+456 pp., (German) MR0194863.

Krabs, W., Lineare Optimierung in halbgeordneten Vektorräumen. Numer. Math. 11 1968 220-231, (German) MR0224365, https://doi.org/10.1007/bf02161844 DOI: https://doi.org/10.1007/BF02161844

Rockafellar, R. T., Extension of Fenchel's duality theorem for convex functions. Duke Math. J. 33 1966 81-89, MR0187062, https://doi.org/10.1215/s0012-7094-66-03312-6 DOI: https://doi.org/10.1215/S0012-7094-66-03312-6

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Published

1973-02-01

How to Cite

Breckner, W. W. (1973). Dualität bei Optimierungsaufgaben in halbgeordneten topologischen Vektorräumen (II): Duality in optimization problems in partially ordered topological vector spaces (II). Rev. Anal. Numér. Théorie Approximation, 2, 27–35. https://doi.org/10.33993/jnaat21-8

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Vol. 2 (1973)

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