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Constrained minimization under vector-valued criteria in finite dimensional spaces. (English) Zbl 0154.44801

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[1] Pareto, V, Cours d’économie politique, (1896), Lausanne, Rouge
[2] Karlin, S, ()
[3] Debreu, G, Theory of value, (1959), Wiley New York · Zbl 0193.20205
[4] Kuhn, H.W; Tucker, A.W, (), 481-492
[5] Zadeh, L.A, Optimality and nonscalar-valued performance criteria, IEEE trans. automat. control, AC-8, 59-60, (1963)
[6] Chang, S.S.L, General theory of optimal processes, J. SIAM control, 4, 46-55, (1966) · Zbl 0144.12402
[7] Klinger, A, Vector-valued performance criteria, IEEE trans. automat. control, 117-118, (1964)
[8] Edwards, R.E, Functional analysis theory and applications, (1965), Holt, Rinehart and Winston New York · Zbl 0182.16101
[9] Dieudonné, J, Foundations of modern analysis, (1960), Academic Press New York · Zbl 0100.04201
[10] Fan, K, Fixed point and minimax theorems in locally convex topological linear spaces, (), 121-126 · Zbl 0047.35103
[11] Farkas, J, Über die theorie der einfachen ungleichungen, J. reine angew. math., 124, 1-27, (1901) · JFM 32.0169.02
[12] John, F, Extremum problems with inequalities as side conditions, (), 187-204
[13] Canon, M; Cullum, C; Polak, E, Constrained minimization problems in finite dimensional spaces, J. SIAM control, 4, 528-547, (1966) · Zbl 0145.34202
[14] Holtzman, J.M, On the maximum principle for nonlinear discrete-time systems, IEEE trans., AC-11, No. 2, 273-274, (1966)
[15] Halkin, H, A maximum principle of the Pontryagin type for systems described by nonlinear difference equations, J. SIAM control, 4, 90-111, (1966) · Zbl 0152.09301
[16] Mangasarian, O.L; Fromowitz, S, The fritz John necessary conditions of optimality in the presence of equality and inequality constraints, Shell dev. co. paper P1433, (1965)
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