A Fixed Point Approach to Stability of a Quadratic Equation
M. Mirzavaziri, M. S. Moslehian
Abstract
Using the fixed point alternative theorem we establish the orthogonal stability of 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.
Create a lesson
Related papers
Morita Induction and Geometric Ideals in p Roe-Type Algebras
Yeong Chyuan Chung, Xinhui Du
Graphs of operators as points in the Grassmann manifold
Esteban Andruchow, Lazaro Recht, Alejandro Varela
The Pego Theorem for the Hilbert--Schmidt Class
Yaogan Mensah
Inertia-Sensitive Kreiss Bounds for J-Selfadjoint Matrices
Thanh Nguyen-Cung, Binh T. Nguyen
Singular inner eigenfunctions of composition operators
V. A. Anjali, P. Muthukumar, P. Shankar
The Beurling density of the spectrum of self-similar measure generated by Hadamard triple
Zong-Sheng Liu, Xiao-Yu Yan