Convergence theorem for an iterative algorithm of λ-strict pseudocontraction

Convergence theorem for an iterative algorithm of l-strict pseudocontraction

Some Results on an Iterative Method for Nonexpansive Mappings in Banach Spaces

In this paper, we consider the problem of finding a common fixed point of a nonexpansive mapping and a λ-strict pseudocontraction based on a general iterative process. Strong convergence of iterative sequences generated in the purposed iterative process is obtained in a real Banach space.

Strong Convergence by a Hybrid Algorithm for Finding a Common Fixed Point of Lipschitz Pseudocontraction and Strict Pseudocontraction in Hilbert Spaces

and Applied Analysis 3 Remark 1.2. i Since 0 αn βn 1, n 1 and ∑∞ n 1 αnβn ∞, the iterative sequence 1.6 could not be reduced to a Mann iterative sequence 1.4 . Therefore, the iterative sequence 1.6 has some particular cases. ii The iterative sequence 1.6 is usually called the Ishikawa iterative sequence. iii Chidume andMutangadura 17 gave an example to show that the Mann iterative sequence fail...

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.

Weak convergence of algorithms for asymptotically strict pseudocontractions in the intermediate sense and equilibrium problems

*Correspondence: [email protected] 2Department of Mathematics Education, Kyungnam University, Masan, 631-701, Korea Full list of author information is available at the end of the article Abstract In this paper, equilibrium problems and fixed-point problems based on an iterative method are investigated. It is proved that the sequence generated in the purposed iterative process weakly conve...