A FIXED POINT THEOREM AND STABILITY OF ADDITIVE-CUBIC FUNCTIONAL EQUATIONS IN MODULAR SPACES

被引：0

作者：

Kim, Chang Il ^{[1
]}

Han, Giljun ^{[1
]}

Shim, Seong-A ^{[2
]}

机构：

[1] Dankook Univ, Dept Math Educ, 152 Jukjeon Ro, Yongin 448701, Gyeonggi Do, South Korea

[2] Sungshin Womens Univ, Dept Math, 249-1,Dongseon Dong 3 Ga, Seoul 136742, South Korea

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2017年 / 22卷 / 05期

关键词：

fixed point theorem; stability; additive-cubic functional equation; modular space;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we investigate a fixed point theorem for a mapping without the condition of bounded orbit in a modular space, whose induced modular is lower semi-continunous. Using this fixed point theorem, we prove the generalized Hyers-Ulam stability for an additive-cubic functional equation in modular spaces without Delta(2)-conditions and the convexity.

引用

页码：881 / 893

页数：13

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