Fixed Points, Inner Product Spaces, and Functional Equations
نویسندگان
چکیده
منابع مشابه
Functional Equations Related to Inner Product Spaces
and Applied Analysis 3 for all x1, . . . , x2n ∈ V if and only if the odd mapping f : V → W is Cauchy additive, that is, f ( x y ) f x f ( y ) , 2.2 for all x, y ∈ V . Proof. Assume that f : V → W satisfies 2.1 . Letting x1 · · · xn x, xn 1 · · · x2n y in 2.1 , we get nf ( x − x y 2 ) nf ( y − x y 2 ) nf x nf ( y ) − 2nf ( x y 2 ) , 2.3 for all x, y ∈ V . Since f : V → W is odd, 0 nf x nf ( y )...
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2010
ISSN: 1687-1820,1687-1812
DOI: 10.1155/2010/713675