Functional Equations Related to Inner Product Spaces
Joint Authors
Najati, Abbas
Park, Choonkil
Park, Won-Gil
Source
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-14
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Let V,W be real vector spaces.
It is shown that an odd mapping f:V→W satisfies ∑i−12nf(xi−1/2n∑j=12nxj)=∑i=12nf(xi)−2nf(1/2n∑i=12nxi) for all x1,…,x2n∈V if and only if the odd mapping f:V→W is Cauchy additive.
Furthermore, we prove the generalized Hyers-Ulam stability of the above functional equation in real Banach spaces.
American Psychological Association (APA)
Park, Choonkil& Park, Won-Gil& Najati, Abbas. 2009. Functional Equations Related to Inner Product Spaces. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-11.
https://search.emarefa.net/detail/BIM-507092
Modern Language Association (MLA)
Park, Choonkil…[et al.]. Functional Equations Related to Inner Product Spaces. Abstract and Applied Analysis No. 2009 (2009), pp.1-11.
https://search.emarefa.net/detail/BIM-507092
American Medical Association (AMA)
Park, Choonkil& Park, Won-Gil& Najati, Abbas. Functional Equations Related to Inner Product Spaces. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-11.
https://search.emarefa.net/detail/BIM-507092
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507092