General solution and generalized Ulam-Hyers stability of a generalized n- type additive quadratic functional equation in Banach space and Banach algebra: direct and fixed point methods

@inproceedings{Murthy2015GeneralSA,
  title={General solution and generalized Ulam-Hyers stability of a generalized n- type additive quadratic functional equation in Banach space and Banach algebra: direct and fixed point methods},
  author={Sameer Murthy and M. Arunkumar and Vimala Govindan},
  year={2015}
}
  • Sameer Murthy, M. Arunkumar, Vimala Govindan
  • Published 2015
  • Mathematics
  • In this paper, the authors introduce and investigate the general solution and generalized Ulam-Hyers stability of a generalized n -type additive-quadratic functional equation. g(x + 2y; u + 2v) + g(x 􀀀 2y; u 􀀀 2v) = 4[g(x + y; u + v) + g(x 􀀀 y; u 􀀀 v)] 􀀀 6g(x; u) + g(2y; 2v) + g(􀀀2y;􀀀2v) 􀀀 4g(y; v) 􀀀 4g(􀀀y;􀀀v) Where  is a positive integer with , in Banach Space and Banach Algebras using direct and fixed point methods. 

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