Abstract
We introduce an iterative process which converges strongly to a common point of solution of variational inequality problem for continuous monotone mapping, solution of equilibrium problem and a common fixed point of finite family of asymptotically regular uniformly continuous relatively asymptotically nonexpansive mappings in Banach spaces. Our scheme does not involve computation of C (n+1)from C (n) for each n a parts per thousand yen 1. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
Mathematics Subject Classification (2000): 47H05, 47H09, 47H10, 47J05, 47J25.