Second Order Necessary Condition in Major Constraints Multi-Objective Programming

DOI

10.2991/acsr.k.191223.016How to use a DOI?

Keywords

major constraints multi-objective programming, major constraints Pareto weakly efficient solution, second order necessary condition

Abstract

Second order necessary optimality condition in multi-objective programming with major constraints is studied. With the aid of the major constraints set and its structure representation, a second order necessary condition for major constrains local Pareto weakly efficient solution is given under a weakly convex inclusion condition and some constraint qualifications. The result develops the theory of multi-objective programming and is useful in the design of numerical methods in the major constraints multi-objective programming.

Copyright

© 2019, 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  - 2019
DA  - 2019/12/24
TI  - Second Order Necessary Condition in Major Constraints Multi-Objective Programming
BT  - Proceedings of the 2019 International Conference on Big Data, Electronics and Communication Engineering (BDECE 2019)
PB  - Atlantis Press
SP  - 68
EP  - 72
SN  - 2352-538X
UR  - https://doi.org/10.2991/acsr.k.191223.016
DO  - 10.2991/acsr.k.191223.016
ID  - Zhou2019
ER  -