The Study Of Ranges For M-Accretive Operators And Monotone Type Operators

In this paper we get and generalize some results for the perturbation theory of m-accretive operators having compact resolvents in Banach spaces. We will generalize Theorem 1 on two sides. We change some conditions of Theorem 1 and get some new results on ranges. We construct a homotopy in proof and which is much simper than the method of Yosida approximation. By topological degree theory of type ( S +), the topological degree for compact perturbations of pseudo-monotone map is induced, and we discuss the applications on ranges.