A FIXED POINT APPROACH TO THE STABILITY OF ADDITIVE-QUADRATIC FUNCTIONAL EQUATIONS IN MODULAR SPACES

• 발행기관: 충청수학회
• 저자명: ChangIl Kim Se Won Park
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 28, No. 2, 321~330쪽, 전체 10쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2015.05.30

국문 초록

In this paper, we prove the generalized Hyers-Ulam stability for the following additive-quadratic functional equation f (2x + y) + f (2x - y) = f (x + y) + f (x - y) + 4f (x) + 2f (-x) in modular spaces by using a fixed point theorem for modular spaces.

목차

1. Introduction and preliminaries

2. The generalized Hyers-Ulam stability for (1.1) in modular spaces

키워드

fixed point theorem Hyers-Ulam stability additive-quadratic functional equations modular spaces.