Common Fixed Points in Modular Spaces

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.