首页|Multiobjective approximate gradient projection method for constrained vector optimization: Sequential optimality conditions without constraint qualifications

Multiobjective approximate gradient projection method for constrained vector optimization: Sequential optimality conditions without constraint qualifications

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  • NSTL
  • Elsevier
In this paper, we establish multiobjective approximate gradient projection (MAGP) and linear multiobjective approximate gradient projection (LMAGP) sequential optimality conditions without constraint qualification for multiobjective constrained optimization problems. Further, we introduce constraint qualifications under which a point that satisfies established optimality conditions also satisfies Karush-Kuhn-Tucker optimality conditions. Such constraint qualifications are called strict constraint qualifications. We discuss the relationship between introduced constraint qualifications and validate it by suitable examples. (c) 2022 Elsevier B.V. All rights reserved.

Multiobjective optimization problemsSequential optimality conditionsConstraints qualificationApproximate gradient projection method

Lai, Kin Keung、Maurya, J. K.、Mishra, S. K.

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Jinan Univ

Kashi Naresh Govt Post Grad Coll Gyanpur

Banaras Hindu Univ

2022

10.1016/j.cam.2022.114122

Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN：0377-0427
年,卷(期)：2022.410
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