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Register a new userSome Application of second-order epi-derivativse in terme of Housdoroff distance
دراسة بعض تطبيقات المشتقات فوق البيانية من المرتبة الثانية باستخدام مفهوم مسافة هاوسدورف
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محمد سويقات( باحث )
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الهدف من هذا البحث هو تعميم بعض النتائج التي درسها الرياضي روكافولار [19] في فضاءات منتهية البعد إلى فضاءات باناخ عامة مستبدلاً مفهوم التقارب فوق البياني بمفهوم تقارب مسافة - هاوسدوف و هذه النتائج هي تطبيقات لدراسة المشتق الثاني لدالة من الصف , لدراسة المشتق الثاني لمجموع دالتين إحداهما من الصف , لدراسة المشتق الثاني لدالة مورو - يوشيدا و العلاقة بين مشتق -بروتو للمؤثر الحال و مشتق بروتو للمؤثر الحال و أيضا لدراسة المشتق الثاني لتركيب دالة مع مؤثر خطي ......الخ.
The purpose of this research is toextendsome results introduced by Rockafellar[19] in finite-dimensioal spaces to general Banach space using the Housdoroff distance convergent instead of epigraphical convergent .These results are aplicationsto study the second-order epi-derivatives of function to classeand to study the second-order epi-derivatives of sum two convex functionand to studythe second-order epi-derivatives of Moreau-Yosida approximate function alsoto study ofthe second-order epi-derivatives of composition convex function with linear operator .
References used
Attouch, H. : Variational convergence for functions and operators. Pitman, London, 1984
Attouch, H. ; Wets, R.J : Epigraphic analysais, analyse non linéaire. Gauthiers-Villars, paris, 1989, 73-100
Attouch, H., R.Lucchetti and Wets, R.J: The topology of -Hausdorff distance . Ann. Mat.Pura Appl.(4), 160, 1991, 303-320
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