A general iterative method for nonexpansive mappings in Hilbert spaces

Abstract: Let H be a real Hilbert space. Consider on H a nonexpansive mapping T with a fixed point, a contraction f with coefficient , and a strongly positive linear bounded operator A with coefficient . Let . It is proved that the sequence generated by the iterative method converges strongly to a fixed point which solves the variational inequality for . [Copyright &y& Elsevier]