Convergence Theorems of Modified Ishikawa Iterative Scheme for Two Nonexpansive Semigroups

Convergence Theorems of Modified Ishikawa Iterative Scheme for Two Nonexpansive Semigroups

CONVERGENCE THEOREMS FOR ASYMPTOTICALLY PSEUDOCONTRACTIVE MAPPINGS IN THE INTERMEDIATE SENSE FOR THE MODIFIED NOOR ITERATIVE SCHEME

We study the convergence of the modified Noor iterative scheme for the class of asymptotically pseudocontractive mappings in the intermediate sense which is not necessarily Lipschitzian. Our results improves, extends and unifies the results of Schu [23] and Qin {it et al.} [25].  

Weak Convergence of Mann Iterative Algorithm for two Nonexpansive mappings

The mann fixed point algorithm play an importmant role in the approximation of fixed points of nonexpansive operators. In this paper, by considering new conditions, we prove the weak convergence of mann fixed point algorithm, for finding a common fixed point of two nonexpansive mappings in real Hilbert spaces. This results extend the privious results given by Kanzow and Shehu. Finally, we give ...

Convergence of Modified Ishikawa Iterative Processes for an Infinite Family of Nonexpansive Mappings

The purpose of this article is to modify Ishikawa iterative process to have strong convergence for an infinite family nonexpansive mappings. Convergence theorems are established in a real Banach space. The results presented in this paper mainly improve the corresponding results announced in [3], [15] and [31].

Strong Convergence Theorems of the CQ Method for Nonexpansive Semigroups

Throughout this paper, letH be a real Hilbert space with inner product 〈·,·〉 and ‖ · ‖. We use xn⇀ x to indicate that the sequence {xn} converges weakly to x. Similarly, xn → x will symbolize strong convergence. we denote by N and R+ the sets of nonnegative integers and nonnegative real numbers, respectively. let C be a closed convex subset of a Hilbert space H , and Let T : C → C be a nonexpan...