APPROXIMATING FIXED POINTS OF NOOR ITERATION WITH ERRORS FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS
GURUCHARAN SINGH SALUJA · 2009
In this paper, we give the sucient condition for convergence of fixed point of Noor iteration with errors for asymptotically quasi nonexpansive mapping in real Banach space. Also we have proved that (i) strong convergence of fixed point of Noor iteration with errors for completely continuous uniformly L-Lipschitzian asymptotically quasi nonexpansive mapping on a nonempty closed convex subset of a real uniformly convex Banach space and (ii) convergence of fixed point of Noor iteration with errors for (L;fi) uniform Lipschitz asymptotically quasi nonexpansive mapping on a nonempty compact convex subset of a real uniformly convex Banach space. The results presented in this paper extend and improve the corresponding results of Xu and Noor [19], Qihou [10, 11], Rhoades [13] and many others.