An extragradient iterative scheme for common fixed point problems and variational inequality problems with applications
Adrian Petruşel, Daya Ram Sahu, Vidya Sagar · Analele Universităţii "Ovidius" Constanţa. Seria Matematică · 2015
Abstract In this paper, by combining a modified extragradient scheme with the viscosity approximation technique, an iterative scheme is developed for computing the common element of the set of fixed points of a sequence of asymptotically nonexpansive mappings and the set of solutions of the variational inequality problem for an α -inverse strongly monotone mapping. We prove a strong convergence theorem for the sequences generated by this scheme and give some applications of our convergence theorem.