Some Results about the Isolated Calmness of a Mixed Variational Inequality Problem
المؤلفون المشاركون
Zhao, Yali
Li, Hongying
Qian, Weiyi
Fan, Xiaodong
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-6، 6ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2018-04-08
دولة النشر
مصر
عدد الصفحات
6
التخصصات الرئيسية
الملخص EN
It is well known that optimization problem model has many applications arising from matrix completion, image processing, statistical learning, economics, engineering sciences, and so on.
And convex programming problem is closely related to variational inequality problem.
The so-called alternative direction of multiplier method (ADMM) is an importance class of numerical methods for solving convex programming problem.
When analyzing the rate of convergence of various ADMMs, an error bound condition is usually required.
The error bound can be obtained when the isolated calmness of the inverse of the KKT mapping of the related problem holds at the given KKT point.
This paper is to study the isolated calmness of the inverse KKT mapping onto the mixed variational inequality problem with nonlinear term defined by norm function and indicator function of a convex polyhedral set, respectively.
We also consider the isolated calmness of the inverse KKT mapping onto classical variational inequality problem with equality and inequality constrains under strict Mangasarian-Fromovitz constraint qualification condition.
The results obtained here are new and very interesting.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Zhao, Yali& Li, Hongying& Qian, Weiyi& Fan, Xiaodong. 2018. Some Results about the Isolated Calmness of a Mixed Variational Inequality Problem. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1206430
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Zhao, Yali…[et al.]. Some Results about the Isolated Calmness of a Mixed Variational Inequality Problem. Mathematical Problems in Engineering No. 2018 (2018), pp.1-6.
https://search.emarefa.net/detail/BIM-1206430
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Zhao, Yali& Li, Hongying& Qian, Weiyi& Fan, Xiaodong. Some Results about the Isolated Calmness of a Mixed Variational Inequality Problem. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1206430
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1206430
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر