Strong convergence theorems for strict pseudo-contractions in Hilbert spaces

Y Yao, R Chen - Journal of Applied Mathematics and Computing, 2010 - Springer
In this paper, we suggest and analyze some iterative algorithms for strict pseudo-
contractions in the sense of Browder-Petryshyn in a real Hilbert space. We prove that the …

Strong convergence theorems for a family of quasi-asymptotic pseudo-contractions in Hilbert spaces

H Zhou, Y Su - Nonlinear Analysis: Theory, Methods & Applications, 2009 - Elsevier
In the present paper, we propose two kinds of new algorithms for a family of quasi-
asymptotic pseudo-contractions in real Hilbert spaces. By using the proposed algorithms, we …

Implicit and explicit algorithms for minimum-norm fixed points of pseudocontractions in Hilbert spaces

Y Yao, V Colao, G Marino, HK Xu - Taiwanese Journal of …, 2012 - projecteuclid.org
We introduce implicit and explicit iterative algorithms for the construction of fixed points of
pseudocontractions $ T $ in Hilbert spaces. We prove that the proposed iterative algorithms …

A hybrid iterative scheme for asymptotically k-strict pseudo-contractions in Hilbert spaces

X Qin, YJ Cho, SM Kang, M Shang - Nonlinear Analysis: Theory, Methods …, 2009 - Elsevier
In this paper, we introduce an explicit iterative process for a finite family of asymptotically k-
strict pseudo-contractions. By using the iterative process, we get a weak convergence …

Strong convergence theorem for pseudo-contractive mappings in Hilbert spaces

YC Tang, JG Peng, LW Liu - Nonlinear Analysis: Theory, Methods & …, 2011 - Elsevier
The purpose of this paper is to construct an Ishikawa type of hybrid algorithm for pseudo-
contractive mappings in Hilbert spaces. Our results extend the recent ones announced by …

Strong convergence of Mann type implicit iterative process for demi-continuous pseudo-contractions

X Qin, H Zhou, SM Kang - Journal of Applied Mathematics and Computing, 2009 - Springer
The purpose of this paper is to study the strong convergence of fixed points for a family of
demi-continuous pseudo-contractions by hybrid projection algorithms in the framework of …

[HTML][HTML] An intermixed algorithm for strict pseudo-contractions in Hilbert spaces

Z Yao, SM Kang, HJ Li - Fixed Point Theory and Applications, 2015 - Springer
An intermixed algorithm for two strict pseudo-contractions in Hilbert spaces have been
presented. It is shown that the suggested algorithms converge strongly to the fixed points of …

Strong convergence of iterative methods for k-strictly pseudo-contractive mappings in Hilbert spaces

JS Jung - Applied Mathematics and Computation, 2010 - Elsevier
In this paper, we introduce composite iterative schemes for finding fixed points of k-strictly
pseudo-contractive mappings for some 0⩽ k< 1 in Hilbert spaces. Then, under certain …

[HTML][HTML] Strong convergence of the modified Mann iterative method for strict pseudo-contractions

G Marino, V Colao, X Qin, SM Kang - Computers & Mathematics with …, 2009 - Elsevier
In this paper, we introduce a modified Mann iterative process for approximating a common
fixed point of a finite family of strict pseudo-contractions in Hilbert spaces. We establish the …

Weak and strong convergence theorems of a Mann-type iterative algorithm for k-strict pseudo-contractions

YJ Cho, X Qin, J Im Kang, M Shang - Taiwanese Journal of …, 2010 - projecteuclid.org
In this paper, we consider a Mann-type iterative algorithm for nonself strict pseudo-
contractions. Weak and strong convergence theorems are established in the framework of …