عنوان المقالة: E-Univex Sets, E-Univex Functions and E-Differentiable E-Univex Programming
نجيب عباس احمد عبدالعليم | Najeeb Abdulaleem | 5678
- نوع النشر
- مجلة علمية
- المؤلفون بالعربي
- نجيب عباس احمد عبدالعليم
- المؤلفون بالإنجليزي
- Najeeb Abdulaleem
- الملخص الانجليزي
- In this paper, we introduce a new concept of sets and a new class of functions called E-univex sets and E-univex functions, respectively. For an E-differentiable function, the concept of E-univexity is introduced by generalizing several concepts of generalized convexity earlier defined into optimization theory. In addition, some properties of E-differentiable E-univex functions are investigated. Further, also concepts of E-differentiable generalized E-univexity are introduced. Then, the sufficiency of the so-called E-Karush–Kuhn–Tucker necessary optimality conditions are proved for an E-differentiable nonlinear optimization problem in which the involved functions are E-univex and/or generalized E-univex.
- تاريخ النشر
- 10/11/2022
- الناشر
- Springer
- رقم المجلد
- رقم العدد
- رابط DOI
- doi.org/10.1007/s00025-022-01775-5
- رابط الملف
- تحميل (0 مرات التحميل)
- الكلمات المفتاحية
- E-Univex Sets, E-univex functions