Representation Of Solution For The Nonlinear Operator Equations In The Reproducing Kernel Hilbert Spaces, Mahmoud Hadizadeh

Representation Of Solution For The Nonlinear Operator Equations In The Reproducing Kernel Hilbert Spaces, Mahmoud Hadizadeh

Abstract. A reproducing kernel Hilbert space restricts the space of functions to smooth functions and has the ideal structure for function approximation and some aspects in learning theory. We discuss the structure of the solution space of some nonlinear operator equations in reproducing kernel Hilbert space. Actually, if the solution exists, we give the analytic representation of the minimal normal solution of the problem.