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;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：91 / 105

页数：14

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