دراسة مسائل القيم الصغرى/ العظمى باستخدام دالة مورو ـــ يوشيدا بمتحولين

الموضوعات

علوم بحتة وطبيعية

روابط وملفات

التعريف والنوع

رقم الوثيقة

037aaa69-a075-423a-b1e1-b283cd117d46

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

ملف

أسماء الملفات

1960501_1.pdf

بيانات النشر

ترجمة العنوان

On Min/Max Problems by Using Morau-Ysida Function With two Variables

ألقاب المؤلفين

[{"name_ar":"علي محمد معلا","title_ar":"اعداد","title_en":"Preparation"},{"name_ar":"محمد سويقات","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"وديع علي","title_ar":"اشراف","title_en":"Supervision"}]

اللغة

Arabic

المصدر والدورية

اسم المصدر

دراسة مسائل القيم الصغرى/ العظمى باستخدام دالة مورو ـــ يوشيدا بمتحولين

المحتوى والصفحات

ترجمة الملخص

In this research we work to generalize some problems that has belong to epigraphical analysis , to problems that belong to epi/hypo –graphical analysis .Our study depends on the way that the problem with two variable changes into two problems with one variable , one of them belongs to the epigraphical analysis while the other belongs to the hypographical analysis .To achieve our goal we used the convex and concave parent functions .In the first chapter we present some of the elements of convex analysis and some theories that belongs to our study. In the second chapter, This chapter is devoted to generalize some results that related in convex case which we represented in the first chapter to the convex –concave case, For that we present some definitions and notions which belong to the epi/hypo graphical analysis. We concluded many results, one of the most important are : Moreau-Yosida function is finite valued and locally Lipschitz. And we proved there is equivalence between convergence for sequence of convex –concave function according to Mosco epi/hypo graph concept and simple convergence for Moreau-Yosida sequence function in reflexive Banach space. Finally we proved that if any sequence of convex –concave function is convergence according to Moreau-Yosida distance then, Moreau-Yosida sequence function is convergence according to Mosco epi/hypo graph concept .In the third chapter we generalized the studying that related in convergence of convex function according to the epigraph concept, to the studying of convergence Moreau-Yosida convex –concave function according to Hausdorff epi/hypo distance After that we applied that study on stability of conditioned Moreau-Yosida saddle points and we obtain strong convergence by using Housdorff distance concept .

كلمات الباحثين

إشراف وإعداد

الإشراف

محمد سويقات, وديع علي

الإعداد

علي محمد معلا

الاقتباسات الببليوغرافية