In this paper, we study semi-closed 1-set-contractive operators A and investigate the boundary conditions under which the topological degrees of 1-set contractive fields,  are equal to 1. Correspondingly, we can obtain some new fixed point theorems for   1-set-contractive operators which extend and improve many famous theorems such as the Leray-Schauder theorem, Altman’s theorem, etc. Lemma 1.1 generalizes the famous Leray-Schauder theorem. The calculation of topological degrees and index are important things, which combine the existence of solution for integral equation and differential equation and or approximation by iteration technique. So, the variational iteration method is also the main tool (see [1-7], etc.). In addition, we extend this conclusion and these methods different from some recent works.