Local conjugacy theorems for C^1 operators between Banach manifolds

In this paper, by the generalized inverse theory of bounded linear operators, the local conjugacy theorem for C^1 operators between Banach manifolds is established. According to this theorem, the conditions which can be used to make sure that a C^1 operator can be linearized are provided. Local conjugacy theorems for nonlinear Fredholm operators, nonlinear semiFredholm operators and finite rank operators are introduced.