scholarly journals A general iterative method for quasi-nonexpansive mappings in Hilbert space

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
M Tian ◽  
X Jin
Keyword(s):  
Hilbert Space ◽  
Iterative Method ◽  
Nonexpansive Mappings ◽  
General Iterative Method

A general iterative method for an infinite family of nonexpansive mappings

2008 ◽  
Vol 69 (5-6) ◽  
pp. 1644-1654 ◽  
Author(s):  
Yonghong Yao ◽  
Yeong-Cheng Liou ◽  
Rudong Chen
Keyword(s):  
Iterative Method ◽  
Nonexpansive Mappings ◽  
Infinite Family ◽  
General Iterative Method

scholarly journals On the iterative solution of linear operator equations with self-adjoint operators

1972 ◽  
Vol 13 (2) ◽  
pp. 241-255 ◽  
Author(s):  
J. J. Koliha
Keyword(s):  
Hilbert Space ◽  
Approximate Solution ◽  
Linear Operator ◽  
Iterative Method ◽  
Iterative Solution ◽  
Matrix Equations ◽  
Operator Equations ◽  
Adjoint Operators ◽  
Linear Operator Equations ◽  
General Iterative Method

In this paper we deal with a linear equation Au = f in a Hilbert space using a general iterative method with a constant iterative operator for the approximate solution. The method has been studied in many papers [1, 2, 4, 9, 13, 14] and thoroughly treated by Householder [3] for matrix equations and by Petryshyn [7] for operator equations in considerably general and unified manner.

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