Split feasibility and fixed-point problems for asymptotically quasi-nonexpansive mappings
Jitsupa Deepho, Poom Kumam · Journal of Inequalities and Applications · 2013
The purpose of this paper is to introduce and analyze a weakly convergent theorem by using the regularized method and the relaxed extragradient method for finding a common element of the solution set Γ of the split feasibility problem and of fixed points of asymptotically quasi-nonexpansive mappings T in the setting of infinite-dimensional Hilbert spaces. Consequently, we prove that the sequence generated by the proposed algorithm converges weakly to an element of under mild assumptions. MSC:47H09, 47J25, 65K10.