STRONG CONVERGENCE THEOREMS OF AVERAGING ITERATIONS OF NONEXPANSIVE NONSELF-MAPPINGS IN BANACH SPACES
Lu-Chuan Ceng, Adrian Petruşel, Jen‐Chih Yao · 2007
Let E be a uniformly convex Banach space whose norm is Gateaux dierentiable and which has a weakly continuous duality mapping; for example, every l p (1 < p < 1) space has a weakly continuous duality map with gauge function '(t) = t p 1 . Let C be a nonempty closed convex subset of E, T : C ! E be a nonexpansive nonself-mapping, and x0,x,y0,y be elements of C. In this paper, we study the strong convergence of two sequences generated by