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 34 条
[21]   Fuzzy almost quadratic functions [J].
Mirmostafaee, Alireza Kamel ;
Moslehian, Mohammad Sal .
RESULTS IN MATHEMATICS, 2008, 52 (1-2) :161-177
[22]   Fuzzy versions of Hyers-Ulam-Rassias theorem [J].
Mirmostafaee, Alireza Kamel ;
Moslehian, Mohammad Sal .
FUZZY SETS AND SYSTEMS, 2008, 159 (06) :720-729
[23]   Fuzzy stability of the Jensen functional equation [J].
Mirmostafolee, A. K. ;
Mirzavaziri, A. ;
Moslehian, M. S. .
FUZZY SETS AND SYSTEMS, 2008, 159 (06) :730-738
[24]   Stability of Jensen functional equation in intuitionistic fuzzy normed space [J].
Mohiuddine, S. A. .
CHAOS SOLITONS & FRACTALS, 2009, 42 (05) :2989-2996
[25]   Hyers-Ulam-Rassias Stability of a Quadratic and Additive Functional Equation in Quasi-Banach Spaces [J].
Moradlou, Fridoun ;
Vaezi, Hamid ;
Eskandani, G. Zamani .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2009, 6 (02) :233-248
[26]   On stability of a cubic functional equation in intuitionistic fuzzy normed spaces [J].
Mursaleen, M. ;
Mohiuddine, S. A. .
CHAOS SOLITONS & FRACTALS, 2009, 42 (05) :2997-3005
[27]  
RASSIAS JM, 1984, B SCI MATH, V108, P445
[28]   SOLUTION OF A PROBLEM OF ULAM [J].
RASSIAS, JM .
JOURNAL OF APPROXIMATION THEORY, 1989, 57 (03) :268-273
[29]   STABILITY OF LINEAR MAPPING IN BANACH-SPACES [J].
RASSIAS, TM .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 72 (02) :297-280
[30]   On the stability of functional equations and a problem of Ulam [J].
Rassias, TM .
ACTA APPLICANDAE MATHEMATICAE, 2000, 62 (01) :23-130
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