Weak convergence theorems for a countable family of Lipschitzian mappings

Convergence theorems for a countable family of Lipschitzian mappings

and Applied Analysis 3 where θn 1 − αn Ln − 1 diamC 2 → 0 as n → ∞ and prove that {xn} defined by 1.5 converges strongly to P∩n 1F Tn x. In this paper, we establish strong convergence theorems for finding common fixed points of a countable family of Lipschitzian mappings in a real Hilbert space. Moreover, we also apply our results for asymptotically nonexpansive mappings. 2. Preliminaries Let H...

On the Convergence Theorems for a Countable Family of Lipschitzian Pseudocontraction Mappings in Banach Spaces

The purpose of this paper is to study the weak and strong convergence theorems of the implicit iteration process for a countable family of Lipschitzian pseudocontraction mappings in Banach spaces. The results presented in this paper extend and improve some recent results announced by some authors.

Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings

In this paper, we introduce and study a new iterative scheme toapproximate a common xed point for a nite family of generalized asymptoticallyquasi-nonexpansive nonself-mappings in Banach spaces. Several strong and weakconvergence theorems of the proposed iteration are established. The main resultsobtained in this paper generalize and rene some known results in the currentliterature.

Strong and Weak Convergence Theorems for an Infinite Family of Lipschitzian Pseudocontraction Mappings in Banach Spaces

Convergence theorems for uniformly quasi-Lipschitzian mappings