التفاصيل البيبلوغرافية
| العنوان: |
Approximate properly solutions of constrained vector optimization with variable coradiant sets. |
| المؤلفون: |
You, Manxue, Li, Genghua |
| المصدر: |
Optimization Letters; Apr2023, Vol. 17 Issue 3, p721-738, 18p |
| مستخلص: |
This paper concentrates on a general vector optimization problem (VOP) with geometrical constraints, where the variable domination structures are defined by coradiant sets. Utilizing asymptotic and recession cones, we provide some new characterizations of coradiant sets. The related approximate weak and strong duality theorems between a general primal set and some different dual sets are formulated. Moreover, the corresponding duality theories are especially derived for VOP. Finally, several sufficient and necessary optimality conditions of approximate (properly) optimal solutions of VOP are proved by maximizing two different nonlinear scalarization functionals about objectives and constraints. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
