Strong convergence theorems for a common zero of a finite family of image-accretive mappings Original Research Article

Suppose KK is a closed convex subset of a strictly convex real Banach space EE which has a uniformly Gâteaux differentiable norm. Suppose that every nonempty closed convex bounded subset of EE has the fixed point property for nonexpansive mappings. A strong convergence theorem is proved for a common zero of a family of mm-accretive mappings from KK to EE. As a consequence, an iterative method is constructed to converge to a common fixed point (assuming existence) of a family of pseudocontractive mappings from KK to EE under certain mild condition.