Some fixed point theorems for multi-valued mappings on partial cone metric spaces

In this paper, we study the fixed point theory for multi-valued mappings on partial cone metric spaces. We prove an analogous to the well-known Kannan${}^{\mathrm{\prime }}s$ fixed point theorem and Chatterjea${}^{\mathrm{\prime }}s$ fixed point theorem for multi-valued mappings on partial cone metric spaces.