Some coincidence theorems of set-valued mappings

Browder^1] obtained the sharpened forms of the Schauder fixed point theorem. Many authors generalized Browder's results in several aspects. Recently, H.M. Ko and K.K. Tan^2,3] generalized Browder's theorems to the coincidence theorems of set-valued mappings. In this paper, we also show some coincidence theorems of set-valued mappings. They improve and generalize the important results in 1,2,3].Projects Supported by the Science Fund of the Chinese Academy of Sciences.