Characterizations of inner product spaces by strongly convex functions.
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Sufficient conditions are given for the global Pareto solution of the multicriterial optimization problem to be in a given convex subset of the domain. In the case of maximizing real valued-functions, the conditions are sufficient and necessary without any convexity type assumptions imposed on the function. In the case of linearly scalarized vector-valued functions the conditions are sufficient and necessary provided that both the function is concave and the scalarization is increasing...
Butnariu, Dan, Iusem, Alfredo N., Resmerita, Elena (2000)
Journal of Convex Analysis
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