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Scalarizing vector optimization problems. (English) Zbl 0505.90072

MSC:
90C31 Sensitivity, stability, parametric optimization
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[1] Yu, P. L.,Cone Convexity, Cone Extreme Points, and Nondominated Solutions in Decision Problems with Multiobjectives, Journal of Optimization Theory and Applications, Vol. 14, pp. 319-377, 1974. · Zbl 0268.90057
[2] Roy, B.,Problems and Methods with Multiobjective Functions, Mathematical Programming, Vol. 1, pp. 239-266, 1971. · Zbl 0254.90061
[3] Cochrane, J. L., andZeleny, M., Editors,Multiple Criteria Decision Making, University of South Carolina Press, Columbia, South Carolina, 1973.
[4] Lin, J. L.,Multiple-Objective Optimization by a Multiplier Method of Proper Equality Constraints, Part 1, Theory, IEEE Transactions on Automatic Control, Vol. AC-24, pp. 567-573, 1979. · Zbl 0411.90067
[5] Gembicki, F. W., andHaimes, Y. Y.,Approach to Performance and Sensitivity Multiobjective Optimization: The Goal Attainment Method, IEEE Transactions on Automatic Control, Vol. AC-20, pp. 769-771, 1975.
[6] Holmes, R. B.,Geometric Functional Analysis and Its Applications, Springer, New York, New York, 1975. · Zbl 0336.46001
[7] Dieudonné, J.,Eléments d’Analyse, Vol. 1, Gauthier-Villars, Paris, France, 1972.
[8] Abraham, R., andRobbin, J.,Transversal Mappings and Flows, Benjamin, New York, New York, 1967. · Zbl 0171.44404
[9] Wan, Y. H.,On Local Pareto Optima, Journal of Mathematical Economics, Vol. 2, pp. 35-42, 1975. · Zbl 0309.90049
[10] Luenberger, D. G.,Introduction to Linear and Nonlinear Programming, Addison-Wesley, Reading, Massachusetts, 1972.
[11] Maurin, K.,Analysis, Part 1, Elements, Reidel Publishing Company, Warsaw, Poland, 1976. · Zbl 0329.00002
[12] Maurer, H., andZowe, J.,First-Order and Second-Order Necessary and Sufficient Optimality Conditions for Infinite-Dimensional Programming Problems, Mathematical Programming, Vol. 16, pp. 98-110, 1979. · Zbl 0398.90109
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