A Fixed Point Approach to the Stability of a General Mixed AQCQ-Functional Equation in Non-Archimedean Normed Spaces

被引：16

作者：

Xu, Tian Zhou ^{[1
]}

Rassias, John Michael ^{[2
]}

Xu, Wan Xin ^{[3
]}

机构：

[1] Beijing Inst Technol, Sch Sci, Dept Math, Beijing 100081, Peoples R China

[2] Natl & Capodistrian Univ Athens, Sect Math & Informat, Pedag Dept EE, Athens 15342, Greece

[3] Univ Elect Sci & Technol China, Sch Commun & Informat Engn, Chengdu 611731, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2010年 / 2010卷

基金：

中国国家自然科学基金;

关键词：

MAPPINGS; THEOREM;

D O I：

10.1155/2010/812545

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the fixed point methods, we prove the generalized Hyers-Ulam stability of the general mixed additive-quadratic-cubic-quartic functional equation f(x + ky) + f(x - ky) = k(2)f(x + y) + k(2)f (x - y) + 2 (1 - k(2)) f (x) +((k(4) - k(2))/12 [f (2y) + f(-2y)-4f(-y)] for a fixed integer k with k not equal 0, +/- 1 in non- Archimedean normed spaces.

引用

页数：24

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