KKM mappings in cone metric spaces and some fixed point theorems

Abstract In this paper, we define KKM mappings in cone metric spaces and define N ℜ -cone metric spaces to obtain some fixed point theorems and hence generalize the results obtained in [A. Amini, M. Fakhar, J. Zafarani, KKM mapping in metric spaces, Nonlinear Anal. 60 (2005) 1045–1052].