کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
839984 | 1470508 | 2013 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Characterizations of εε-duality gap statements for composed optimization problems
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper we present different regularity conditions that equivalently characterizeεε-duality gap statements for optimization problems consisting of minimizing the sum of a function with the precomposition of a cone-increasing function to a vector function. These regularity conditions are formulated by using epigraphs and εε-subdifferentials. Taking ε=0ε=0 one can rediscover recent results on stable strong and total duality and zero duality gap from the literature. Moreover, we deliver as byproducts εε-optimality conditions and (ε,η)(ε,η)-saddle point statements for the aforementioned kind of problems, and εε-Farkas statements involving the sum of a function with the precomposition of a cone-increasing function to a vector function.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 92, November 2013, Pages 96–107
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 92, November 2013, Pages 96–107
نویسندگان
Horaţiu-Vasile Boncea, Sorin-Mihai Grad,