Vector continuous-time programming without differentiability

التفاصيل البيبلوغرافية
العنوان: Vector continuous-time programming without differentiability
المؤلفون: Valeriano Antunes de Oliveira
المصدر: Journal of Computational and Applied Mathematics. 234(3):924-933
بيانات النشر: Elsevier BV, 2010.
سنة النشر: 2010
مصطلحات موضوعية: Scalarization, Multiobjective programming, Duality, Scalar problem, Applied Mathematics, Mathematical analysis, Scalar (mathematics), Duality (optimization), Weighting, Preinvex functions, Vector optimization, Computational Mathematics, Saddle point optimality, Saddle point, Applied mathematics, Differentiable function, Continuous-time programming, Semi-differentiability, Mathematics
الوصف: In this work continuous-time programming problems of vector optimization are considered. Firstly, a nonconvex generalized Gordan’s transposition theorem is obtained. Then, the relationship with the associated weighting scalar problem is studied and saddle point optimality results are established. A scalar dual problem is introduced and duality theorems are given. No differentiability assumption is imposed.
تدمد: 0377-0427
DOI: 10.1016/j.cam.2010.02.012
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40cdb900f6978640aa947235fac8b570
Rights: OPEN
رقم الانضمام: edsair.doi.dedup.....40cdb900f6978640aa947235fac8b570
قاعدة البيانات: OpenAIRE
الوصف
تدمد:03770427
DOI:10.1016/j.cam.2010.02.012