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Closedness type regularity conditions in convex optimization and beyond

التفاصيل البيبلوغرافية
العنوان: Closedness type regularity conditions in convex optimization and beyond
المؤلفون: Sorin-Mihai Grad
المصدر: Frontiers in Applied Mathematics and Statistics, Vol 2 (2016)
بيانات النشر: Frontiers Media S.A., 2016.
سنة النشر: 2016
المجموعة: LCC:Applied mathematics. Quantitative methods
LCC:Probabilities. Mathematical statistics
مصطلحات موضوعية: duality, convex optimization, conjugate functions, Subdifferentials, Epigraphs, closedness type regularity conditions, Applied mathematics. Quantitative methods, T57-57.97, Probabilities. Mathematical statistics, QA273-280
الوصف: The closedness type regularity conditions have proven during the last decade to be viable alternatives to their more restrictive interiority type counterparts, in both convex optimization and different areas where it was successfully applied. In this review article we de- and reconstruct some closedness type regularity conditions formulated by means of epigraphs and subdifferentials, respectively, for general optimization problems in order to stress that they arise naturally when dealing with such problems. The results are then specialized for constrained and unconstrained convex optimization problems. We also hint towards other classes of optimization problems where closedness type regularity conditions were successfully employed and discuss other possible applications of them.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2297-4687
Relation: http://journal.frontiersin.org/Journal/10.3389/fams.2016.00014/full; https://doaj.org/toc/2297-4687
DOI: 10.3389/fams.2016.00014
URL الوصول: https://doaj.org/article/104e78c83f2d432593bcb52855d9da98
رقم الانضمام: edsdoj.104e78c83f2d432593bcb52855d9da98
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:22974687
DOI:10.3389/fams.2016.00014