... Algorithms in Feasibility and Optimization and Their Applications, D. Butnariu, Y. Censor, and S. Reich, Eds., vol. 8, pp. 473–504,North-Holland, Amsterdam, The Netherlands, 2001.3 L. Wang, ... x∗,δαGx∗,3.13 and the claim follows by induction. Thus, the sequence {xn} is bounded and so are {Txn} and {GTxn}.Define two sequences {βn} and {yn} by βn:1−σλn1σ and yn:xn1−xnβnxn/βn.Then,yn1 ... Lpspaces, 2 ≤ p<∞ under conditions C1, C2, and C5orC6 as in the result of Xu and Kim.It is our purpose in this paper to modify the schemes 1.8 and 1.9 and prove strongconvergence theorems for...