|
|
- 2016
混合AQC函数方程在FFNLS上的HUR稳定性
|
Abstract:
摘要： 用不动点方法研究了混合可加-二次-三次(AQC)函数方程f(2x+y)+f(2x-y)=2f(2x)+2f(x+y)+2f(x-y)-4f(x)-f(y)-f(-y)在FFNLS上的HUR稳定性。
Abstract: The HUR stability of a mixed functional equation deriving from additive, quadratic and cubic mappingsf(2x+y)+f(2x-y)=2f(2x)+2f(x+y)+2f(x-y)-4f(x)-f(y)-f(-y)in Felbins type fuzzy normed linear spaces is proved using fixed point method
| [1] | ULAM S M. A collection of mathematical problems[M]. New York: Wiley, 1960. |
| [2] | FRIDOUN MORADLOU, SABER REZACE, HDAR SADEQI. Approximate quadratic functional equation in Felbins type normed linear spaces[J]. Hacettepe J Math Statistics, 2013, 42(5):501-516. |
| [3] | HYERS D H. On the stability of the linear functional equation[J]. Proc Natl Acad Sci, 1941, 27:222-224. |
| [4] | ESKANDANI G Z, RASSIAS J M. Approximation of a general cubic functional equation in Felbins type fuzzy normed linear spaces[J]. Results Math, 2014, 66(1):113-123. |
| [5] | FELBIN C. Finite dimensional fuzzy normed linear spaces[J]. Fuzzy Set and Systems, 1992, 48(2):239-248. |
| [6] | WANG Liguang. On the stability of a mixed function equation deriving from additive,quadratic and cubic mappings[J]. Acta Mathematica Sinica, English Series Jun, 2014, 30(6):1033-1049. |
| [7] | SOON-MO JUNG. A fixed point approach to the stability of a volterra integral equation[J/OL]. Fixed Point Theory and Applications, Volume, 2007, Article ID 57064, 9pages. doi:10.1155/2007/57064.[2015-03-01]. http://www.Fixed pointtheory and applications.com/content/2007/1/057064. |
| [8] | RASSIAS Th M. On the stability of the linear mapping in Banach spaces[J]. Proc Amer Math Soc, 1978, 72:297-300. |
| [9] | ACZEL J, DHOMBRES J. Functional equations in several variables[M]. Cambridge: Cambridge Univ, 1989. |
| [10] | JUNG S M. Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis[M]. New York: Springer, 2011. |
| [11] | PARK C, LEE J R. Approximation of an AQCQ-functional equation and its application[J]. Austr J Math Anal Appl, 2011, 8(1):1-39. |
| [12] | 卢海宁,纪培胜,薛海燕. Cauchy-Jensen方程的模糊稳定性[J]. 青岛大学学报(自然科学版),2013,26(3):6-10. LU Haining, JI Peisheng, XUE Haiyan. The fuzzy stability of Cauchy-Jensen functional equation[J]. Journal of Qingdao University(Natural Science Edition), 2013, 26(3):6-10. |
| [13] | SADEQI I, MORADLOU F, SALEHI M. On approximate Cauchy equation in Felbins type fuzzy normed linear spaces[J]. Iran J Fuzzy Systems, 2013, 10(3):51-63. |
| [14] | XIAO J, ZHU X. Topological degree theory and fixed point theorems in fuzzy normed space[J]. Fuzzy Sets Syst, 2004, 147(1):437-452. |
| [15] | 纪培胜,赵英姿. Jensen-二次函数方程及其Hyers-Ulam稳定性[J]. 数学学报:中文版,2015,58(2):251-260. JI Peisheng, ZHAO Yingzi. Jensen-Quadratic functional equation and its Hyers-Ulam stability[J]. Acta Mathematica Sinica Chinese Series, 2015, 58(2):251-260. |
