Lagrange multiplier rules for weak approximate Pareto solutions to constrained vector optimization problems with variable ordering structures
In this paper, we consider the weak approximate solutions to constrained vector optimization problems with variable ordering structures. In terms of abstract subdifferentials, normal cones and coderivatives, we establish Lagrange rules for this kind of solutions.
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| Published in: | Optimization Vol. 71; no. 7; pp. 2131 - 2155 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Philadelphia
Taylor & Francis
03.07.2022
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| ISSN: | 0233-1934, 1029-4945 |
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| Abstract | In this paper, we consider the weak approximate solutions to constrained vector optimization problems with variable ordering structures. In terms of abstract subdifferentials, normal cones and coderivatives, we establish Lagrange rules for this kind of solutions. |
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| AbstractList | In this paper, we consider the weak approximate solutions to constrained vector optimization problems with variable ordering structures. In terms of abstract subdifferentials, normal cones and coderivatives, we establish Lagrange rules for this kind of solutions. |
| Author | Hu, Chunhai Zhu, Jiangxing |
| Author_xml | – sequence: 1 givenname: Chunhai surname: Hu fullname: Hu, Chunhai organization: Yunnan University – sequence: 2 givenname: Jiangxing surname: Zhu fullname: Zhu, Jiangxing email: jxzhu@ynu.edu.cn organization: Yunnan University |
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| SubjectTerms | abstract subdifferential approximate solution Lagrange multiplier Optimization variable structure Vector optimization |
| Title | Lagrange multiplier rules for weak approximate Pareto solutions to constrained vector optimization problems with variable ordering structures |
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