First and second order optimality conditions in vector optimization problems with nontransitive preference relation

被引：0
|
作者：
V. V. Gorokhovik
M. A. Trafimovich
机构：
[1] National Academy of Sciences of Belarus,Institute of Mathematics
[2] Belarusian State University,undefined
来源：
Proceedings of the Steklov Institute of Mathematics | 2016年 / 292卷
关键词：
vector optimization; nontransitive preference; nonlinear scalarization; second order optimality conditions;
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摘要：
We present first and second order conditions, both necessary and sufficient, for ≺-minimizers of vector-valued mappings over feasible sets with respect to a nontransitive preference relation ≺. Using an analytical representation of a preference relation ≺ in terms of a suitable family of sublinear functions, we reduce the vector optimization problem under study to a scalar inequality, from which, using the tools of variational analysis, we derive minimality conditions for the initial vector optimization problem.
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页码：91 / 105
页数：14
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