Fuzzy Stability of Euler-Lagrange Type Cubic Functional Equation: A Fixed Point Approach

被引:0
作者
Ravi, K. [1 ]
Murali, R. [1 ]
Thandapani, E. [2 ]
机构
[1] Sacred Heart Coll, Dept Math, Tirupattur 635601, Tamil Nadu, India
[2] Univ Madras, Ramanujam Inst Adv Study Math, Chennai 600005, Tamil Nadu, India
来源
JOURNAL OF INFORMATICS AND MATHEMATICAL SCIENCES | 2012年 / 4卷 / 01期
关键词
Fuzzy normed space; Cubic functional equation; Generalized Hyers-Ulam stability;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, the authors investigate the generalized Hyers-Ulam stability of Euler-Lagrange type Cubic functional equation 2af (x + ay)+ 2f (ax - y) = (a(3) + a)[f (x + y)+ f (x y)] +2(a(4) - 1)f (y) in fuzzy normed space by direct method and fixed point method, where a is fixed integer with a not equal 0, +/- 1.
引用
收藏
页码:65 / 75
页数:11
相关论文
共 50 条
[41]   Stability of a more general cubic functional equation in Felbin's type fuzzy normed linear spaces [J].
Wang, Zhihua .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 38 (04) :4733-4742
[42]   Solution and fuzzy stability of a mixed type functional equation [J].
Narasimman, P. .
ADVANCES IN PURE AND APPLIED MATHEMATICS, 2016, 7 (01) :29-39
[43]   A Fixed Point Approach to Ulam Stability Problem for Cubic and Quartic Mappings in Non-Archimedean Fuzzy Normed Spaces [J].
Chugh, Renu ;
Sushma .
WORLD CONGRESS ON ENGINEERING, WCE 2010, VOL III, 2010, :1931-1934
[44]   FORTI'S APPROACH IN FIXED POINT THEORY AND THE STABILITY OF A FUNCTIONAL EQUATION ON METRIC AND ULTRA METRIC SPACES [J].
Rahbarnia, F. ;
Rassias, Th. M. ;
Saadati, R. ;
Sadeghi, Gh. .
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (03) :458-462
[45]   Approximation of a General Cubic Functional Equation in Felbin's Type Fuzzy Normed Linear Spaces [J].
Eskandani, G. Z. ;
Rassias, J. M. .
RESULTS IN MATHEMATICS, 2014, 66 (1-2) :113-123
[46]   Solution and stability of a cubic functional equation [J].
Kil Woung Jun ;
Sang Baek Lee ;
Won Gil Park .
Acta Mathematica Sinica, English Series, 2010, 26 :1255-1262
[47]   Solution and Stability of a Cubic Functional Equation [J].
Jun, Kil Woung ;
Lee, Sang Baek ;
Park, Won Gil .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (07) :1255-1262
[48]   Solution and Stability of a Cubic Functional Equation [J].
Kil Woung JUN ;
Sang Baek LEE ;
Won Gil PARK .
ActaMathematicaSinica(EnglishSeries), 2010, 26 (07) :1255-1262
[49]   Additive and Quadratic Type Functional Equation and its Fuzzy Stability [J].
Chang, Ick-Soon ;
Lee, Yang-Hi .
RESULTS IN MATHEMATICS, 2013, 63 (3-4) :717-730
[50]   FUZZY STABILITY OF THE CAUCHY ADDITIVE AND QUADRATIC TYPE FUNCTIONAL EQUATION [J].
Jin, SunSook ;
Lee, Yang-Hi .
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 27 (03) :523-535