THE GENERALIZED HYERS-ULAM STABILITY OF QUADRATIC FUNCTIONAL EQUATION WITH AN INVOLUTION IN NON-ARCHIMEDEAN SPACES

• 발행기관: 충청수학회
• 저자명: Chang Il Kim Chang Hyeob Shin
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 27, No. 2, 261~269쪽, 전체 9쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2014.05.30

영문 초록

In this paper, using ¯xed point method, we prove the Hyers-Ulam stability of the following functional equation (k+1)f(x+y)+f(x+¾(y))+kf(¾(x)+y)¡2(k+1)f(x)¡2(k+1)f(y) = 0 with an involution ¾ for a ¯xed non-zero real number k with k 6= ¡1.

목차

1. Introduction and preliminaries

2. Solutions of (1.3)

3. The generalized Hyers-Ulam stability for (1.3)