عنوان المقالة: E-invexity and generalized E-invexity in E-differentiable multiobjective programming
نجيب عباس احمد عبدالعليم | Najeeb Abdulaleem | 6368
- نوع النشر
- مقال علمي
- المؤلفون بالعربي
- نجيب عباس احمد عبدالعليم
- المؤلفون بالإنجليزي
- Najeeb Abdulaleem
- الملخص العربي
- In this paper, a new concept of generalized convexity is introduced for not necessarily differentiable vector optimization problems. For an E-differentiable function, the concept of E-invexity is introduced as a generalization of the E-differentiable E-convexity notion. In addition, some properties of E-differentiable E-invex functions are investigated. Furthermore, the so-called E-Karush-Kuhn-Tucker necessary optimality conditions are established for the considered E-differentiable vector optimization problems with both inequality and equality constraints. Also, the sufficiency of the E-Karush-Kuhn-Tucker necessary optimality conditions are proved for such E-differentiable vector optimization problems in which the involved functions are E-invex and/or generalized E-invex.
- تاريخ النشر
- 01/10/2019
- الناشر
- EDP Sciences
- رقم المجلد
- 24
- رقم العدد
- رابط DOI
- https://doi.org/10.1051/itmconf/20192401002
- الصفحات
- 12
- رابط الملف
- تحميل (51 مرات التحميل)
- الكلمات المفتاحية
- E-invex set / E-invex function / E-differentiable function / E-Karush-Kuhn-Tucker necessary optimality conditions