On perturbations of accretive mappings

In this paper, we study the following operator equation: p∈Ax+Cx in a Banach space X, where A:D(A)⊆X→2X is an accretive mapping, C:D(C)⊆X→X is a nonlinear mapping and p∈X. Various existence results of solutions of nonlinear operator equations in Banach spaces are obtained under a countably condensing type condition.