Second-order Karush/Kuhn–Tucker conditions and duality for constrained multiobjective optimization problems-Reference-Cited by-同舟云学术

Second-order Karush/Kuhn–Tucker conditions and duality for constrained multiobjective optimization problems

Published:2024-08-29 Issue: Volume: Page:1-23
ISSN:0233-1934
Container-title:Optimization
language:en
Short-container-title:Optimization

Author:

Liu Luyu¹,Chen Jiawei¹,Köbis Elisabeth²,Lv Yibing³,Ou Xiaoqing⁴⁵

Affiliation:

1. School of Mathematics and Statistics, Southwest University, Chongqing, People's Republic of China

2. Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), Trondheim, Norway

3. School of Information and Mathematics, Yangtze University, Jingzhou, People's Republic of China

4. College of Management, Chongqing College of Humanities, Science & Technology, Chongqing, People's Republic of China

5. School of Mathematics and Information Science, North Minzu University, Yinchuan, People's Republic of China

Funder

Natural Science Foundation of China

Natural Science Foundation of Chongqing

Youth Project of Science and Technology Research Program of Chongqing Education Commission of China

Publisher

Informa UK Limited

Link

https://www.tandfonline.com/doi/pdf/10.1080/02331934.2024.2396053

Reference31 articles.

1. Karush W. Minima of functions of several variables with inequalities as side constraints [M.Sc. dissertation]. Chicago (IL): Dept. of Mathematics, Univ. Chicago; 1939.

2. Kuhn HW, Tucker AW. Nonlinear programming. In: Proceedings of 2nd Berkeley Symposium. Berkeley: Univ. California Press; 1951. p. 481–492.

3. Strong Kuhn–Tucker conditions and constraint qualifications in locally Lipschitz multiobjective optimization problems

4. Nonsmooth multiobjective programming: strong Kuhn–Tucker conditions

5. First-order necessary conditions in locally Lipschitz multiobjective optimization