دراسة لمسائل القيم الصغرى/ العظمى باستخدام دالة مورو ـــــ يوشيدا بمتحولين

Authors

  • محمد سويقات
  • وديع علي
  • علي معلا

Abstract

قمنا في هذا البحث بدراسة بعضاً من الخواص الأساسية لدالة موروـــــ يوشيدا بمتحولين ، وتعميم بعض النتائج المتعلقة بدراسة التقارب لمتتالية من الدوال المحدبة ـــــــ المقعرة و متتالية دوال موروـــــ يوشيدا الموافقة لها ، والمبرهنة الأساسية التي حصلنا عليها إنه من أجل أي متتالية من الدوال المحدبة ـــــ المقعرة إذا كانت متقاربة بالنسبة لمسافة موروـــــ يوشيدا ، فإن متتالية دوال موروـــــ يوشيدا الموافقة لها تكون متقاربة وفق مفهوم موسكو ـــــ فوق/تحت البيان . In this paper we study some basic properties of the Moreau-Yosida function with two variables , and generalize the results of related to study of the convergence for sequence of convex-concave functions and the sequence of Moreau-Yosida function corresponding , and the basic theorem that we proved is : for any sequence of convex-concave functions , if they are convergent of the Moreau-Yosida distance then the sequence of Moreau-Yosida function corresponding will be convergent to the concept of Mosco-epi/hypo graph convergence .

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Published

2017-03-06

How to Cite

1.
سويقات م, علي و, معلا ع. دراسة لمسائل القيم الصغرى/ العظمى باستخدام دالة مورو ـــــ يوشيدا بمتحولين. TUJ-BA [Internet]. 2017Mar.6 [cited 2024Apr.26];38(3). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/2556

Issue

Vol. 38 No. 3 (2016): العلوم الأساسية

Section

Articles

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