... f (y) , J(xt− y) + f (y) − y, J(xt− y) ≤ β||xt− y| |2+ f( y )− y, J(xt− y ).Hence,||xt− y| |2≤11 −βf (y) − y, J(xt− y) ,(3:14)which implies that||xt− y| | ... inequalities involving pseudocontractions.Fixed Point Theory Appl. (2011)4. Yamada, I: The hybrid steepest descent for the variational inequality problems over the intersection of fixed point ... articles freely available online7 High visibility within the fi eld7 Retaining the copyright to your article Submit your next manuscript at 7 springeropen.comWang and Chen Fixed Point Theory and Applications...