Intuitionistic fuzzy stability of a Jensen functional equation via fixed point technique

被引:29
作者
Mohiuddine, S. A. [1 ]
Cancan, M. [2 ]
Sevli, H. [3 ]
机构
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[2] Yuzuncu Yil Univ, Dept Math, TR-65080 Van, Turkey
[3] Istanbul Commerce Univ, Dept Math, Istanbul, Turkey
关键词
t-norm; t-conorm; Jensen functional equation; Cauchy functional equation; Intuitionistic fuzzy normed space; Fixed point; ULAM-RASSIAS STABILITY; THEOREM; SPACES;
D O I
10.1016/j.mcm.2011.05.049
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The object of this paper is to determine Hyers-Ulam-Rassias stability concerning the Jensen functional equation in intuitionistic fuzzy normed space (IFNS) by using the fixed point method. Further, we establish stability of the Cauchy functional equation in IFNS. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2403 / 2409
页数:7
相关论文
共 22 条
[21]   On the intuitionistic fuzzy topological spaces [J].
Saadati, R ;
Park, JH .
CHAOS SOLITONS & FRACTALS, 2006, 27 (02) :331-344
[22]  
Ulam S. M., 1960, A Collection of the Mathematical Problems