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Morris, Robert J. T.

Optimal constrained selection of a measurable subset. (English) Zbl 0417.49032

J. Math. Anal. Appl. 70, 546-562 (1979).
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scan of Zbl 0417.49032

Cited in 6 Reviews
Cited in 59 Documents

MathOverflow Questions:

Constructing an additive set function from on a non-additive one

MSC:

49K99 Optimality conditions
65K10 Numerical optimization and variational techniques
90C99 Mathematical programming
49J45 Methods involving semicontinuity and convergence; relaxation

Keywords:

optimal constrained selection; necessary and sufficient conditions of; optimization; convexity
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\textit{R. J. T. Morris}, J. Math. Anal. Appl. 70, 546--562 (1979; Zbl 0417.49032)
Full Text: DOI

References:

[1] Cea, J.; Gioan, A.; Michel, J., Quelques résultats sur l’identification de domaines, Calcolo, 10, 133-145 (1973)
[2] Wang, P. K.C, On a class of optimization problems involving domain variations, (International Symposium on New Trends in System Analysis. International Symposium on New Trends in System Analysis, Versailles, France, Dec. 1976. International Symposium on New Trends in System Analysis. International Symposium on New Trends in System Analysis, Versailles, France, Dec. 1976, Lecture Notes in Control and Information Sciences, No. 2 (1977), Springer-Verlag: Springer-Verlag Berlin), 49 · Zbl 0372.93028
[3] Begis, D.; Glowinski, R., Application de la méthode des éléments finis à l’approximation d’un problème de domaine optimal. Méthodes de résolution des problèmes approchés, Applied Math. Opt., 2, No. 2, 130-169 (1975) · Zbl 0323.90063
[4] Murat, F.; Simon, J., Étude de problèmes d’optimal design, (Proceedings of the Seventh IFIP Conference. Proceedings of the Seventh IFIP Conference, Nice, France, Sept. 1975. Proceedings of the Seventh IFIP Conference. Proceedings of the Seventh IFIP Conference, Nice, France, Sept. 1975, Lecture Notes in Computer Science No. 41 (1976), Springer-Verlag: Springer-Verlag Berlin), 54-62 · Zbl 0334.49013
[5] Mangasarian, O. L., Nonlinear Programming (1969), McGraw-Hill: McGraw-Hill New York · Zbl 0194.20201
[6] Rudin, W., Functional Analysis (1973), McGraw-Hill: McGraw-Hill New York · Zbl 0253.46001
[7] Luenberger, D. G., Optimization by Vector Space Methods (1969), Wiley: Wiley New York · Zbl 0176.12701
[8] Von Neumann, J.; Morgenstern, O., Theory of Games and Economic Behavior (1944), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J · Zbl 0063.05930
[9] Gudder, S. P., Convexity and Mixtures, SIAM Review, 19, No. 2, 221-240 (1977) · Zbl 0354.52001
[10] Bertsekas, D. P., Multiplier methods: A survey, Automatica, 12, 133-145 (1976) · Zbl 0321.49027
[11] Morris, R. J.T, UCLA Tech. Report UCLA-ENG-7815 (March 1978), also available as
[12] Dolecki, S.; Kurcyusz, S., Convexité généralisée et optimization, C. R. Acad. Sci. Paris Sér. A, 283, 91-94 (1976) · Zbl 0341.49005
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