The Fixed Point Method for Fuzzy Approximation of a Functional Equation Associated with Inner Product Spaces

المؤلفون المشاركون

Gordji, Madjid Eshaghi
Khodaei, H.

المصدر

Discrete Dynamics in Nature and Society

العدد

المجلد 2010، العدد 2010 (31 ديسمبر/كانون الأول 2010)، ص ص. 1-15، 15ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2010-09-27

دولة النشر

مصر

عدد الصفحات

15

التخصصات الرئيسية

الرياضيات

الملخص EN

Th.

M.

Rassias (1984) proved that the norm defined over a real vector space X is induced by an inner product if and only if for a fixed integer n≥2, ∑i=1n∥xi-(1/n)∑j=1nxj∥2=∑i=1n∥xi∥2-n∥(1/n)∑i=1nxi∥2 holds for all x1,…,xn∈X.

The aim of this paper is to extend the applications of the fixed point alternative method to provide a fuzzy stability for the functional equation ∑i=1nf(xi-(1/n)∑j=1nxj)=∑i=1nf(xi)-nf((1/n)∑i=1nxi) which is said to be a functional equation associated with inner product spaces.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Gordji, Madjid Eshaghi& Khodaei, H.. 2010. The Fixed Point Method for Fuzzy Approximation of a Functional Equation Associated with Inner Product Spaces. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-448975

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Gordji, Madjid Eshaghi& Khodaei, H.. The Fixed Point Method for Fuzzy Approximation of a Functional Equation Associated with Inner Product Spaces. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-15.
https://search.emarefa.net/detail/BIM-448975

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Gordji, Madjid Eshaghi& Khodaei, H.. The Fixed Point Method for Fuzzy Approximation of a Functional Equation Associated with Inner Product Spaces. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-448975

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-448975