向量优化问题中的弱S-有效解

doi:10.15960/j.cnki.issn.1007-6093.2016.01.005

Abstract

Abstract:

In this paper, we introduce the concept of weak S-optimal solution and S-subconvexlikeness of vector optimization with set-valued maps and obtain an alternative theorem in a real locally Hausdorff topological vector space. Furthermore, under the assumption of S-subconvexlikeness, we establish scalarization theorem for weak S-efficient solution. We also give some examples to illustrate the main results.

Key words: vector optimization, S-subconvexlikeness, weak S-efficient solution, alternative theorem, scalarization theorem

GUO Hui, BAI Yanqin. Weak S-efficient solution of vector optimization[J]. Operations Research Transactions, doi: 10.15960/j.cnki.issn.1007-6093.2016.01.005.

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Weak S-efficient solution of vector optimization

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