# Duality for a Class of Multiobjective Semi-inﬁnite Programming Problems

### Jie Zhao, Xiaofeng Yan

#### Abstract

In this paper, a class of multiobjective semi-inﬁnite programming problems is considered. Suﬃcient optimality condition is established for an eﬃcient solution ﬁrstly. Furthermore, we formulate Mond-Weir type dual for multiobjective semi-inﬁnite programming problems and establish weak, strong and converse duality theorems relating the problem and the dual problems under G-invex assumptions.

Download#### Paper Citation

#### in Harvard Style

Zhao J. and Yan X. (2018). **Duality for a Class of Multiobjective Semi-inﬁnite Programming Problems**.In *3rd International Conference on Electromechanical Control Technology and Transportation - Volume 1: ICECTT,* ISBN 978-989-758-312-4, pages 314-317. DOI: 10.5220/0006969803140317

#### in Bibtex Style

@conference{icectt18,

author={Jie Zhao and Xiaofeng Yan},

title={Duality for a Class of Multiobjective Semi-inﬁnite Programming Problems},

booktitle={3rd International Conference on Electromechanical Control Technology and Transportation - Volume 1: ICECTT,},

year={2018},

pages={314-317},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0006969803140317},

isbn={978-989-758-312-4},

}

#### in EndNote Style

TY - CONF

JO - 3rd International Conference on Electromechanical Control Technology and Transportation - Volume 1: ICECTT,

TI - Duality for a Class of Multiobjective Semi-inﬁnite Programming Problems

SN - 978-989-758-312-4

AU - Zhao J.

AU - Yan X.

PY - 2018

SP - 314

EP - 317

DO - 10.5220/0006969803140317