Convergence theorem for an iterative algorithm 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.

Convergence theorem for an iterative algorithm of l-strict pseudocontraction

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 ...

Weak convergence theorem for Lipschitzian pseudocontraction semigroups in Banach spaces

In this work, theorems of weak convergence of an implicit iterative algorithm with errors for treating a nonexpansive semigroup and a Lipschitzian pseudocontractive semigroup are estabilshed in the framework of real Banach spaces. 2010 Mathematics Subject Classification. Primary 60J05; Secondary 60J20.

Iterative algorithm for strongly continuous semigroup of Lipschitz pseudocontraction mappings

In this paper, an implicit iterative process is considered for strongly continuous semigroup of Lipschitz pseudocontraction mappings. Weak and strong convergence theorems for common fixed points of strongly continuous semigroup of Lipschitz pseudocontraction mappings are established in a real Banach space. c ©2016 All rights reserved.