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Connectedness of the set of nondominated outcomes in multicriteria optimization. (English) Zbl 0363.90108

MSC:
90C99 Mathematical programming
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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 · doi:10.1007/BF00932614
[2] Arrow, K. J., Barankin, E. W., andBlackwell, D.,Admissible Points of Convex Sets, Contributions to the Theory of Games, Edited by H. Kuhn, and A. Tucker, Princeton University Press, Princeton, New Jersey, 1953. · Zbl 0050.14203
[3] Naccache, P. H.,Stability and Multicriteria Optimization, University of California at Berkeley, Berkeley, California, PhD Thesis, 1977. · Zbl 0418.90079
[4] Hildenbrandt, W.,Core and Equilibria of a Large Economy, Princeton University Press, Princeton, New Jersey, 1975.
[5] Stoer, J., andWitzgall, C.,Convexity and Optimization in Finite Dimensions, I, Springer Verlag, New York, New York, 1970. · Zbl 0203.52203
[6] Rockafellar, R. T.,Convex Analysis, Princeton University Press, Princeton, New Jersey, 1970. · Zbl 0193.18401
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