The Cutting Planes method for abstract convexity
عنوان مقاله: The Cutting Planes method for abstract convexity
شناسه ملی مقاله: MTIM01_032
منتشر شده در نخستین کنگره بین المللی جامع ریاضی ایران در سال 1395
شناسه ملی مقاله: MTIM01_032
منتشر شده در نخستین کنگره بین المللی جامع ریاضی ایران در سال 1395
مشخصات نویسندگان مقاله:
Zahra Mahmoudabadi - Department of Applied Mathematics,Shahid Bahonar University of Kerman,Kerman, Iran
خلاصه مقاله:
Zahra Mahmoudabadi - Department of Applied Mathematics,Shahid Bahonar University of Kerman,Kerman, Iran
The cutting plane method, which only uses the global definition of the subdifferential, i.e., its support properties and it can be easily generalized for the abstract convex setting. In this paper, we first examine properties of topical (increasing and plus-homogeneous) functions defined on a normed linear space X. We also study many results of abstract convexity such as support set, polarity and subdifferential set of these functions. Finally, we consider the corresponding method as the generalized cutting plane method
کلمات کلیدی: Topical function; Subdifferential; abstract convexity; cutting plane
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/633297/