Perturbations of normally solvable nonlinear operators, I
oleh: William O. Ray, Anita M. Walker
| Format: | Article |
|---|---|
| Diterbitkan: | Wiley 1985-01-01 |
Deskripsi
Let X and Y be Banach spaces and let ℱ and 𝒢 be Gateaux differentiable mappings from X to Y In this note we study when the operator ℱ+𝒢 is surjective for sufficiently small perturbations 𝒢 of a surjective operator ℱ The methods extend previous results in the area of normal solvability for nonlinear operators.