Optimality Conditions for a Class of Optimization Problem in Banach Spaces

DOI

10.2991/cmsa-18.2018.31How to use a DOI?

Keywords

banach space; duality theory; optimality condition; optimization problem

Abstract

In this paper, a class of optimization problem is studied. The objective function is a functional in a Banach space and the constraint is cone constraint where the cone doesn’t need nonempty interior. The concept of the conjugate function is introduced and a duality theorem is established. Then, by use of the duality theorem and Robinson's constraint qualification, some optimality conditions for the optimization problems in Banach space are obtained.

Copyright

© 2018, 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  - 2018/04
DA  - 2018/04
TI  - Optimality Conditions for a Class of Optimization Problem in Banach Spaces
BT  - Proceedings of the 2018 International Conference on Computer Modeling, Simulation and Algorithm (CMSA 2018)
PB  - Atlantis Press
SP  - 132
EP  - 136
SN  - 1951-6851
UR  - https://doi.org/10.2991/cmsa-18.2018.31
DO  - 10.2991/cmsa-18.2018.31
ID  - Zhou2018/04
ER  -