[PDF] Top 20 A Fixed Point Approach to the Stability of Quadratic Functional Equation with Involution

... the fixed point method to prove the Hyers-Ulam-Rassias stability of the functional equation ...Hyers-Ulam-Rassias stability approach for the proof of new fixed ... See full document

... the stability of functional equation was first suggested by Hyers 17 while he was trying to answer the question originated from the problem of Ulam 18, and it is called a direct method because it ... See full document

... Hyers-Ulam stability to a number of functional equations and mappings see ...A quadratic functional equation is a functional equation of the following ... See full document

... of functional equations is as ...a functional equation must be close to an exact solution of the equation?” The first stability problem concerning group homomorphisms was raised by Ulam ... See full document

... The functional equation f(x + y) + f(x - y) = 2f(x) + 2f(y) is called a quadratic func- tional ...the quadratic functional equation is said to be a quadratic ...Hyers-Ulam ... See full document

... a quadratic functional ...the quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional ... See full document

... a quadratic functional ...the quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional ... See full document

... a quadratic functional equation because the quadratic function f (x) = ax 2 is a solu- tion of the functional equation ...the quadratic functional equation ... See full document

... such equation is called a quadratic functional ...the quadratic Equation ...is quadratic if and only if there exists a unique symmetric biadditive function B such that f (x) = B ... See full document

... an involution of the normed space E and k is a fixed positive ...Hyers-Ulam-Rassias stability of the func- tional equation. The Hyers-Ulam stability on unbounded domains is also ... See full document

... called quadratic functional ...of functional eqaution ...a quadratic mapping. A Hyers-Ulam stability problem for the quadratic functional equation was proved by ... See full document

... the stability of the additive mapping as a special ...Hyers-Ulam stability for the linear mapping between Banach spaces was ...Hyers-Ulam stability of the additive mapping was proved by Aoki see ... See full document

... The stability of mixed type functional equations have been extensively investigated by a number of math- ematicians in referenes (see [3–5, 14–22, 28–31, 33–38, 43, 48, ...the fixed point ... See full document

... 4. Stability of the generalized quadratic set-valued functional Equation ...the fixed point method, we define a generalized quadratic set-valued functional ... See full document

... of stability theory of functional equations for the proof of new fixed point theorems with applica- ...using fixed point methods, the stability problems of several ... See full document

... Hyers-Ulam-Rassias stability of functional ...The stability problems of several functional equations have been extensively investigated by a number of authors and there are many interesting ... See full document

... the fixed point theorem to prove the stability theorem of Cauchy and Jensen functional ...Hyers-Ulam stability via the fixed point method and investigate new theorems via ... See full document

... of stability problems for functional equations is related to a question of Ulams[24] concerning the stability of group homomorphism’s was affirmatively answered for Banach spaces by Hyers[9,10] for ... See full document

... The Hyers-Ulam stability theorem for the quadratic functional equation (1.1) was proved by F.skof for the functions f E : 1  E 2 where E 1 is the normed space and E 2 be a Banach space, the ... See full document

... the fixed-point method in the study of Hyers-Ulam stability see also 22 ...the fixed-point method to the investigation of the Jensen functional equation see 23, 24 ... See full document