Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems
Habtu Zegeye, Naseer Shahzad, Mohammad Ali Alghamdi · Fixed Point Theory and Applications · 2012
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+1from C n for each n ≥ 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