|
|||||
|
|
A fixed point approach to stability of a quadratic equation |
|
| Authors: | |
| Institution: | (1) Department of Mathematics, Ferdowsi University, 1159, Mashhad 91775, IRAN;(2) Banach Mathematical Research Group (BMRG), Mashhad, IRAN |
| Abstract: | Using the fixed point alternative theorem we establish the orthogonal stability of the quadratic functional equation of Pexider type f (x+y)+g(x−y) = h(x)+k(y), where f, g, h, k are mappings from a symmetric orthogonality space to a Banach space, by orthogonal additive mappings under a necessary and sufficient condition on f. |
| Keywords: | orthogonal stability Pexiderized quadratic equation orthogonally quadratic mapping quadratic mapping orthogonally additive mapping additive mapping orthogonality space fixed point alternative theorem |
| 本文献已被 SpringerLink 等数据库收录！ | |