Duality theorems for continuous linear programming problems
Atsushi Murakami and Maretsugu Yamasaki
Source: J. Sci. Hiroshima Univ. Ser. A-I Math. Volume 33, Number 2
(1969), 213-221.
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90C05
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.hmj/1206138530
Mathematical Reviews number (MathSciNet): MR0293988
Zentralblatt MATH identifier: 0194.50502
References
[1] N. Bourbaki: Espaces vectoriels topologiques, Chap. III-V, Paris, 1955.
[2] N. Dunford and J. T. Schwartz: Linear operators, Part I, New York, 1967.
Zentralblatt MATH: 0084.10402
[3] M. A. Hanson: Duality for a class of infinite programming problems, J. Soc. Ind. Appl. Math., 16(1968), 318-323.
Zentralblatt MATH: 0171.40702
Mathematical Reviews (MathSciNet): MR230547
[4] M. A. Hanson and B. Mond: A class of continuous convex programming problems, J. Math. Anal. Appl., 22 (1968), 427-437.
Zentralblatt MATH: 0184.44503
Mathematical Reviews (MathSciNet): MR226941
[5] K. S. Kretschmer: Programmes in paired spaces, Canad. J. Math., 13 (1961), 221-238.
Zentralblatt MATH: 0097.14705
Mathematical Reviews (MathSciNet): MR155684
[6] N. Levinson: A class of continuous linear programming problems, J. Math. Anal. Appl., 16 (1966), 73-83.
Zentralblatt MATH: 0141.35601
Mathematical Reviews (MathSciNet): MR205686
[7] W. F. Tyndall: A duality theorem for a class of continuous linear programming problems, J. Soc. Ind. Appl. Math., 13 (1965), 644-666.
Zentralblatt MATH: 0171.40701
Mathematical Reviews (MathSciNet): MR191640
[8] M. Yamasaki: Duality theorems in mathematical programmings and their applications, J. Sci. HiroshimaUniv. Ser. A-I Math., 32 (1968), 331-356.
Zentralblatt MATH: 0179.24502
Mathematical Reviews (MathSciNet): MR269299
[9] R. C. Grinold: Continuous programming, part one: linear objectives, J. Math. Anal. Appl., 28 (1969), 32-51.
Zentralblatt MATH: 0218.90055
Mathematical Reviews (MathSciNet): MR249103
[10] R. C. Grinold: Continuous programming, part two: nonlinear objectives, J. Math. Anal. Appl., 27 (1969), 639-655.
Zentralblatt MATH: 0218.90056
Mathematical Reviews (MathSciNet): MR249104
Journal of Science of the Hiroshima University, Series A-I (Mathematics)
