Stability of Jensen functional equation in intuitionistic fuzzy normed space

被引：50
作者：
Mohiuddine, S. A. [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 42卷 / 05期
关键词：
E-INFINITY THEORY; ULAM; PHYSICS;
D O I：
10.1016/j.chaos.2009.04.040
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we determine some stability results concerning the Jensen functional equation 2f((x + y)/2) = f(x) + f(y) in intuitionistic fuzzy normed spaces (IFNS). We define the intuitionistic fuzzy continuity of the Jensen mappings and prove that the existence of a solution for any approximately Jensen mapping implies the completeness of IFNS. (C) 2009 Elsevier Ltd. All rights reserved.
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收藏
页码：2989 / 2996
页数：8
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