Second Order Sufficient Optimality Condition for a Class of Major Constraints Vector Optimization Problem

DOI

10.2991/aebmr.k.200402.014How to use a DOI?

Keywords

vector optimization, major constraint, pareto weakly efficient solution, optimality condition, second order sufficient condition

Abstract

Optimality condition of second order of major constraints vector optimization is researched. The concept of major constraints local Pareto weakly efficient solution in major constraints vector optimization is given. With the aid of the major constraint set and its structure representation, a sufficient optimality condition of second order of major constraint local Pareto weakly efficient solution is obtained. The result is useful for the further study of vector optimization theory and also is useful for the study of its numerical methods.

Copyright

© 2020, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xuanwei Zhou
PY  - 2020
DA  - 2020/04/06
TI  - Second Order Sufficient Optimality Condition for a Class of Major Constraints Vector Optimization Problem
BT  - Proceedings of the 3rd International Conference on Advances in Management Science and Engineering (IC-AMSE 2020)
PB  - Atlantis Press
SP  - 77
EP  - 82
SN  - 2352-5428
UR  - https://doi.org/10.2991/aebmr.k.200402.014
DO  - 10.2991/aebmr.k.200402.014
ID  - Zhou2020
ER  -