Nonlinear [inline-graphic not available: see fulltext]-Random Stability of an ACQ Functional Equation

被引:0
作者
Reza Saadati
M M Zohdi
S M Vaezpour
机构
[1] Islamic Azad University,Department of Mathematics, Science and Research Branch
来源
Journal of Inequalities and Applications | / 2011卷
关键词
Functional Equation; Unique Mapping; Additive Mapping; Unique Fixed Point; Generalize Uncertainty Principle;
D O I
暂无
中图分类号
学科分类号
摘要
We prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation: [inline-graphic not available: see fulltext] in complete latticetic random normed spaces.
引用
收藏
相关论文
共 64 条
  • [1] El Naschie MS(2005)On a fuzzy Kähler-like manifold which is consistent with the two slit experiment International Journal of Nonlinear Sciences and Numerical Simulation 6 95-98
  • [2] Sigalotti LDG(2006)On El Naschie's conjugate complex time, fractal International Journal of Nonlinear Sciences and Numerical Simulation 7 467-472
  • [3] Mejias A(1941) space-time and faster-than-light particles Proceedings of the National Academy of Sciences of the United States of America 27 222-224
  • [4] Hyers DH(1950)On the stability of the linear functional equation Journal of the Mathematical Society of Japan 2 64-66
  • [5] Aoki T(1978)On the stability of the linear transformation in Banach spaces Proceedings of the American Mathematical Society 72 297-300
  • [6] Rassias ThM(1994)On the stability of the linear mapping in Banach spaces Journal of Mathematical Analysis and Applications 184 431-436
  • [7] Găvruţa P(2008)A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings Bulletin des Sciences Mathématiques 132 87-96
  • [8] Park C(2008)Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras Mathematische Nachrichten 281 402-411
  • [9] Park C(1984)Hyers-Ulam-Rassias stability of a generalized Apollonius-Jensen type additive mapping and isomorphisms between Bulletin des Sciences Mathématiques 108 445-446
  • [10] Rassias JM(2007)-algebras Bulletin des Sciences Mathématiques 131 89-98