... solution set of a variational inequality for a relaxed coercive mapping in a Hilbert space and obtained a strong convergence theorem. In this paper, motivated by the above results, we introduce a new ... Israel Journal of Mathematics,vol. 22, no. 1, pp. 81–86, 1975.7 S. Reich, “Weak convergence theorems for nonexpansive mappings in Banach spaces,” Journal of Mathematical Analysis and Applications, ... W. Takahashi, Y. Takeuchi, and R. Kubota, “Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces,” Journal of Mathematical Analysis andApplications,...