Enlargements of Abstract Monotone Operators Determind by Representing Functions
محورهای موضوعی : مجله بین المللی ریاضیات صنعتیH. Eshaghi Kenari 1 , A. Asadi 2 , MR. Miri 3
1 - Department of Mathematics and Statics, University of Birjand, Birjand, Iran.
2 - Department of Mathematics and Statics, University of Birjand, Birjand, Iran.
3 - Department of Mathematics and Statics, University of Birjand, Birjand, Iran.
کلید واژه: Abstract monotone operator, Enlargement, ε- Abstract sub-differential, Abstract sub-differential,
چکیده مقاله :
In this paper, we study a new enlargement of abstract sub-differential for any IPH function. This nice property, apart from its theoretical importance, gives also the possibility to use the enlargement of abstract sub-differential in finding approximate solutions of inclusions determined by abstract sub-differentials. We define a new enlargement and observe, in the case abstract sub-differential, the relation between this new enlargement and the ε -abstract sub-differential.
در این مقاله ، ما یک افزایش جدید زیر دیفرانسیل انتزاعی برای هر عملکرد IPH را مطالعه می کنیم. ما می دانیم که ϵ-انتزاعی زیر دیفرانسیل از هر تابع IPH بزرگ شدن خلاصه ای از آن زیر دیفرانسیل و هر نقطه از نمودار ε-انتزاعی است. زیر دیفرانسیل را می توان با استفاده از نقط تقسیم زیر دیفرانسیل به نقطه تقریبی تبدیل کرد. این ویژگی خوب ، به غیر از اهمیت نظری آن ، امکان استفاده از بزرگنمایی دیفرانسیل زیر انتزاعی را نیز در محلولهای تقریبی اجزاء تعیین شده توسط تفاوتهای فرعی انتزاعی فراهم می آورد. ما یک پیشرفت جدید را مشاهده نمی کنیم و در مورد زیر دیفرانسیل انتزاعی ، رابطه بین این بزرگنمایی جدید و زیر دیفرانسیل ϵ-انتزاعی را مشاهده می کنیم.
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