کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8904464 | 1633704 | 2017 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On hyperstability of the biadditive functional equation
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On hyperstability of the biadditive functional equation On hyperstability of the biadditive functional equation](/preview/png/8904464.png)
چکیده انگلیسی
We present results on approximate solutions to the biadditive equation
f(x+y,z-w)+f(x-y,z+w)=2f(x,z)-2f(y,w)on a restricted domain. The proof is based on a quite recent fixed point theorem in some function spaces. Our main results state that, under some weak natural assumptions, functions satisfying the equation approximately (in some sense) must be actually solutions to it. In this way we obtain inequalities characterizing biadditive mappings and inner product spaces. Our outcomes are connected with the well known issues of Ulam stability and hyperstability.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 37, Issue 6, November 2017, Pages 1727-1739
Journal: Acta Mathematica Scientia - Volume 37, Issue 6, November 2017, Pages 1727-1739
نویسندگان
Iz-iddine EL-FASSI, Janusz BRZDÄK, Abdellatif CHAHBI, Samir KABBAJ,