Stability of the general form of quadratic-quartic functional equations in non-Archimedean L-fuzzy normed spaces

被引：5

作者：

Bodaghi, Abasalt ^{[1
]}

Narasimman, Pasupathi ^{[2
]}

机构：

[1] Islamic Azad Univ, Islamshahr Branch, Young Researchers & Elite Club, Islamshahr, Iran

[2] Thiruvalluvar Univ, Coll Arts & Sci, Dept Math, Tirupattur 635901, Tamil Nadu, India

来源：

TBILISI MATHEMATICAL JOURNAL | 2018年 / 11卷 / 01期

关键词：

Fuzzy normed space; quartic functioanl equation; quadratic functional equation; fuzzy generalized Hyers-Ulam stability;

D O I：

10.2478/tmj-2018-0002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce and obtain the general solution of a. new generalized mixed quadratic and quartic functional equation and investigate its stability in non-Archimedean L-fuzzy normed spaces.

引用

页码：15 / 29

页数：15

共 39 条

[1] Aoki T., 1950, J MATH SOC JAPAN, V2, P64, DOI 10.2969/jmsj/00210064
[2] INTUITIONISTIC FUZZY-SETS
ATANASSOV, KT
[J]. FUZZY SETS AND SYSTEMS, 1986, 20 (01) : 87 - 96
[3] Atanassov KT, 1983, 7 ITKRS SESS SOF
[4] Bag T., 2003, J FUZZY MATH, V11, P687
[5] FUZZY INNER PRODUCT-SPACES AND FUZZY NORM FUNCTIONS
BISWAS, R
[J]. INFORMATION SCIENCES, 1991, 53 (1-2) : 185 - 190
[6] Bodaghi A., 2017, AN STIINT U AL I CUZ, V63, P215
[7] Bodaghi A, 2017, BOL SOC PARANA MAT, V35, P43, DOI 10.5269/bspm.v35i1.29014
[8] FUNDAMENTAL STABILITIES OF THE NONIC FUNCTIONAL EQUATION IN INTUITIONISTIC FUZZY NORMED SPACES
Bodaghi, Abasalt
Park, Choonkil
Rassias, John Michael
[J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 31 (04): : 729 - 743
[9] Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations
Bodaghi, Abasalt
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 30 (04) : 2309 - 2317
[10] ULAM'S TYPE STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUADRATIC AND ADDITIVE FUNCTIONS
Bodaghi, Abasalt
Kim, Sang Og
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (01): : 73 - 84

← 1 2 3 4 →