Multiobjective approximate gradient projection method for constrained vector optimization: Sequential optimality conditions without constraint qualifications
Lai, Kin Keung 1Maurya, J. K. 2Mishra, S. K.3
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作者信息
1. Jinan Univ
2. Kashi Naresh Govt Post Grad Coll Gyanpur
3. Banaras Hindu Univ
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Abstract
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.
NSTL
Elsevier