A fixed point approach to stability of a quadratic equation
- 214 Downloads
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
Mathematical subject classification:Primary: 39B55 Secondary: 39B52 39B82
Unable to display preview. Download preview PDF.