A HYERS-ULAM-RASSIAS STABILITY RESULT FOR FUNCTIONAL EQUATIONS IN INTUITIONISTIC FUZZY BANACH SPACES

被引：0

作者：

Kayal, N. C. ^{[1
]}

Samanta, T. K. ^{[2
]}

Saha, P. ^{[1
]}

Choudhury, B. S. ^{[1
]}

机构：

[1] Indian Inst Engn Sci & Technol, Dept Math, Howrah 711103, W Bengal, India

[2] Uluberia Coll, Dept Math, Howrah 711315, W Bengal, India

来源：

IRANIAN JOURNAL OF FUZZY SYSTEMS | 2016年 / 13卷 / 05期

关键词：

Cubic functional equations; t-norm; t-conorm; Intuitionistic fuzzy Banach space; Hyers-Ulam-Rassias stability; SETS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Hyers-Ulam-Rassias stability have been studied in the contexts of several areas of mathematics. The concept of fuzziness and its extensions have been introduced to almost all branches of mathematics in recent times. Here we define the cubic functional equation in 2-variables and establish that Hyers-Ulam-Rassias stability holds for such equations in intuitionistic fuzzy Banach spaces.

引用

页码：87 / 96

页数：10

共 28 条

[21] Intuitionistic fuzzy metric spaces
Park, JH
[J]. CHAOS SOLITONS & FRACTALS, 2004, 22 (05) : 1039 - 1046
[22] STABILITY OF LINEAR MAPPING IN BANACH-SPACES
RASSIAS, TM
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 72 (02) : 297 - 280
[23] On the intuitionistic fuzzy topological spaces
Saadati, R
Park, JH
[J]. CHAOS SOLITONS & FRACTALS, 2006, 27 (02) : 331 - 344
[24] Samanta T. K., 2012, J HYPERSTRUCTURES, V1, P71
[25] Samanta T.K., 2009, Int. J. Open Problems Compt. Math., V4, P574
[26] Samanta T. K., 2013, ANN FUZZY MATH INFOR, V6, P285
[27] Shakeri S., 2009, J NONLINEAR SCI APPL, V2, P105, DOI DOI 10.22436/JNSA.002.02.05
[28] FUZZY SETS
ZADEH, LA
[J]. INFORMATION AND CONTROL, 1965, 8 (03): : 338 - &

← 1 2 3 →