| It is the purpose of this paper to discuss mapping theorems involving non-compact perturbations of nonlinear multivalued operators. We give some recent results concerning the solvability of the nonlinear functional equation z∈T(x)+F(x), where T is a multivalued operator such that （Ｔ＋１/ｎＩ）－１ are 1-set contractions and F is an 1-set contraction or a γ-condensing. Our results improve the main results in [5,8,12]. |
