تقرير
Applications of Convex Analysis within Mathematics
| العنوان: | Applications of Convex Analysis within Mathematics |
|---|---|
| المؤلفون: | Artacho, Francisco J. Aragón, Borwein, Jonathan M., Martín-Márquez, Victoria, Yao, Liangjin |
| سنة النشر: | 2013 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, Mathematics - Optimization and Control, Primary 47N10, 90C25, Secondary 47H05, 47A06, 47B65 |
| الوصف: | In this paper, we study convex analysis and its theoretical applications. We first apply important tools of convex analysis to Optimization and to Analysis. We then show various deep applications of convex analysis and especially infimal convolution in Monotone Operator Theory. Among other things, we recapture the Minty surjectivity theorem in Hilbert space, and present a new proof of the sum theorem in reflexive spaces. More technically, we also discuss autoconjugate representers for maximally monotone operators. Finally, we consider various other applications in mathematical analysis. Comment: 38 pages, minor revision incorporating referees' comments |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1302.1978 |
| رقم الأكسشن: | edsarx.1302.1978 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |