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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Bibliographic Details
Published in:Optimization Vol. 71; no. 7; pp. 2131 - 2155
Main Authors: Hu, Chunhai, Zhu, Jiangxing
Format: Journal Article
Language:English
Published: Philadelphia Taylor & Francis 03.07.2022
Taylor & Francis LLC
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ISSN:0233-1934, 1029-4945
Online Access:Get full text
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Summary: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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ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2020.1857753