A Local Property of Nonlinear Mappings in Banach Spaces
Han Jin-chun · Journal of Huaiyin Teachers College · 2005
This paper investigates the local conjugacy problem in Banach spaces. We provide a local property of nonlinear mappings under the assumption of its Frechet derivative having bounded generalized inverses. Our main results not only unify local immersion theorem and local submersion theorem, but also generalize the main results of V.Cafagna.