Viscosity approximations methods for (ψ,φ)-weakly contractive mappings

In this paper, we study viscosity approximations with (ψ , ϕ)-weakly contractive mappings. We show that Moudafi’s viscosity approximations follow from Browder and Halpern type convergence theorems. Our results generalize a number of convergence theorems including a strong convergence theorem of Song and Liu (Fixed Point Theory Appl. 2009:824374, 2009). MSC: Primary 54H25; secondary 47H10