ON THE STABILITY OF THE FUNCTIONAL EQUATION DERIVING FROM QUADRATIC AND ADDITIVE FUNCTION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD

• 발행기관: 충청수학회
• 저자명: Sun Sook Jin Yang-Hi Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 25, No. 1, 51~63쪽, 전체 13쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2012.02.28

영문 초록

In this paper, we prove the stability in random normed spaces via ¯xed point method for the functional equation f(2x + y) + f(2x ¡ y) + 2f(x) ¡ f(x + y) ¡ f(x ¡ y) ¡ 2f(2x) = 0:

목차

1. Introduction

2. Preliminaries

3. On the stability of the functional equation deriving from quadratic and additive functions in RN-spaces