Higher-order conditions for strict local Pareto minima in terms of generalized lower and upper directional derivatives
نویسندگان
چکیده
منابع مشابه
Higher-order conditions for strict local Pareto minima in terms of generalized lower and upper directional derivatives
We introduce lower and upper limits of vector-valued functions with respect to the usual positive cone in a finite-dimensional space. Using these concepts, we extend the definitions ofm-th order lower and upper directional derivatives introduced in Studniarski (1986) [1] to vector-valued functions, and prove some necessary and sufficient conditions for strict local Pareto minimizers of orderm. ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2012
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2012.04.021