Strong convergence for the modified Mann’s iteration of λ-strict pseudocontraction

Convergence theorem for an iterative algorithm of λ-strict pseudocontraction

In this article, we prove strong convergence of sequence generated by the following iteration sequence for a class of Lipschitzian pseudocontractive mapping T: x n+1 = β n u + (1 − β n)[α n Tx n + (1 − α n)x n ] whenever {a n } and {b n } satisfy the appropriate conditions.

Strong Convergence for the Mann Iteration of Λ-strict Pseudo-contraction

In this paper, we prove strong convergence of the Mann iteration of an λ-strict pseudocontraction T in a real q−uniformly smooth Banach space. The results presented in this paper are interesting extensions and improvements upon those known ones of Marino and Xu [J. Math. Anal. Appl. 324(2007) 336-349], and are development and complementariness of the corresponding ones of Chai and Song [Fixed P...

Strong convergence of modified noor iteration in CAT(0) spaces

We prove a strong convergence theorem for the modified Noor iterations‎ ‎in the framework of CAT(0) spaces‎. ‎Our results extend and improve the corresponding results of‎ ‎X‎. ‎Qin‎, ‎Y‎. ‎Su and M‎. ‎Shang‎, ‎T‎. ‎H‎. ‎Kim and H‎. ‎K‎. ‎Xu and S‎. ‎Saejung‎ ‎and some others‎.

Convergence theorem for an iterative algorithm of l-strict pseudocontraction

strong convergence of modified noor iteration in cat(0) spaces

we prove a strong convergence theorem for the modified noor iterations‎ ‎in the framework of cat(0) spaces‎. ‎our results extend and improve the corresponding results of‎ ‎x‎. ‎qin‎, ‎y‎. ‎su and m‎. ‎shang‎, ‎t‎. ‎h‎. ‎kim and h‎. ‎k‎. ‎xu and s‎. ‎saejung‎ ‎and some others‎.