IHSCICONF 2017 Special Issue Ibn Al-Haitham Journal for Pure and Applied science https://doi.org/ 10.30526/2017.IHSCICONF.1822 For more information about the Conference please visit the websites: http://www.ihsciconf.org/conf/ www.ihsciconf.org Mathematics|500 Common Fixed Points in Modular Spaces Salwa Salman Abed salwaalbundi@yahoo.com Dept. of Mathematics/College of Education forPure Science (Ibn Al-Haitham) University of Baghdad Sada Emad Abdul Karrar kararemad1982@gmail.com Dept. of Mathematics/ College of Education for Pure Science (Ibn Al- Haitham) University of Baghdad Abstract In this paper,there are new considerations about the dual of a modular spaces and weak convergence. Two common fixed point theorems for a -non-expansive mapping defined on a star-shaped weakly compact subset are proved, Here the conditions of affineness, demi-closedness and Opial's property play an active role in the proving our results. Keywords: Modular spaces, fixed points, best approximations.