Fixed Points and the Stability of an AQCQ-Functional Equation in Non-Archimedean Normed Spaces
نویسندگان
چکیده
منابع مشابه
Fixed Points and the Stability of an AQCQ-Functional Equation in Non-Archimedean Normed Spaces
and Applied Analysis 3 is called a quadratic functional equation. In particular, every solution of the quadratic functional equation is said to be a quadratic mapping. A generalized Hyers-Ulam stability problem for the quadratic functional equation was proved by Skof 7 for mappings f : X → Y , where X is a normed space and Y is a Banach space. Cholewa 8 noticed that the theorem of Skof is still...
متن کاملAQCQ-Functional Equation in Non-Archimedean Normed Spaces
and Applied Analysis 3 Theorem 1.2 Rassias 18 . Let X be a real normed linear space and Y a real complete normed linear space. Assume that f : X → Y is an approximately additive mapping for which there exist constants θ ≥ 0 and p, q ∈ R such that r p q / 1 and f satisfies the inequality ∥ ∥f ( x y ) − f x − f(y)∥∥ ≤ θ‖x‖p∥∥y∥∥q 1.5 for all x, y ∈ X. Then there exists a unique additive mapping L...
متن کاملA Fixed Point Approach to the Stability of a General Mixed AQCQ-Functional Equation in Non-Archimedean Normed Spaces
1 Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China 2 Sections of Mathematics and Informatics, Pedagogical Department E.E., National and Capodistrian University of Athens, 4, Agamemnonos Str., Aghia Paraskevi, 15342 Athens, Greece 3 School of Communication and Information Engineering, University of Electronic Science and Technology of China, Ch...
متن کاملStability of the quadratic functional equation in non-Archimedean L-fuzzy normed spaces
In this paper, we prove the generalized Hyers-Ulam stability of the quadratic functionalequation$$f(x+y)+f(x-y)=2f(x)+2f(y)$$in non-Archimedean $mathcal{L}$-fuzzy normed spaces.
متن کاملStability of Fréchet functional equation in non - Archimedean normed spaces ∗
We will establish stability of Fréchet functional equation
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2010
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2010/849543