Pareto optimality in multiobjective problems
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M. S. Bazaraa andJ. J. Goode, Necessary optimality criteria in mathematical programming in the presence of differentiability,J. Math. Analysis & App. 40 (1972), 609?621.
A. Ben-Israel, Linear equations and inequalities on finite dimensional, real or complex, vector spaces: a unified theory,J. Math. Analysis & App. 27 (1969), 367?389.
Y. Censor,Contributions to Optimization Theory: Multiobjective Problems, doctoral thesis, Technion, Haifa, 1975 (Hebrew).
N. O. Da Cunha andE. Polak, Constrained minimization under-vector-valued criteria in finite dimensional spaces,J. Math. Analysis & App. 19 (1967), 103?124.
N. O. Da Cunha and E. Polak,Constrained Minimization Under-Vector-Valued Criteria in Linear Topological Spaces, in Math. Theory of Control, Academic Press, Eds: Balakrishnan, A. V., and Newstadt, L. W., 96?108, 1967.
V. F. Demyanov and A. M. Rubinov,Approximate Methods in Optimization Problems, American-Elsevier Pub. Co., 1970.
A. Y. Dubovitskii andA. A. Milyutin, Extremu problems with constraints,Dokl. Akad. Nauk. SSSR,149 (1963), 759?762. (English Translation,Soviet. Math. Dolk. 4 (1963), 452?455.)
A. Y. Dubovitskii andA. A. Milyutin, Extremum problems in the presence of constraints,Zh. Vychist. Mat. i Mat. Fiz. 5 (1965), 395?453. (English translation:USSR Comp. Math. and Math. Physics 5 (1965) 1?80.)
A. M. Geoffrion, Proper efficiency and the theory of vector maximization,J. Math. Analysis & Appl. 22 (1968), 618?630.
I. V. Girsanov,Lectures on Mathematical Theory of Extremum Problems, Lecture Notes in Economics and Mathematical Systems, #67, Springer-Verlag, Berlin, Heidelberg, New York, 1972.
P-J. Laurent,Approximation et Optimisation, Hermann, Paris, 1972.
B. N. Pshenichnyi,Necessary Conditions for an Extremum, Marcel Dekker Inc., 1971.