Approximation of a solution for a \(K\)-positive definite operator equation in uniformly smooth separable Banach spaces
type: Item
instance of: scholarly article
title: Approximation of a solution for a \(K\)-positive definite operator equation in uniformly smooth separable Banach spaces
zbMATH Open document ID: 0946.47007
author: Chuanzhi Bai
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-06-04T00:00:00Z
review text: For a linear equation with a \(K\)-positive definite operator over a separable uniformly smooth Banach space a new iteration method is constructed which converges strongly to a unique solution. This extends a result of \textit{C. E. Chidume} and \textit{M. O. Osilike} [J. Math. Anal. Appl. 210, No. 1, 1-7 (1997; Zbl 0901.47002)].
reviewed by: Lothar Berg
Mathematics Subject Classification ID: 47A50
Mathematics Subject Classification ID: 47B48
Mathematics Subject Classification ID: 41A65
zbMATH DE Number: 1340169
zbMATH Keywords: \(K\)-positive definite operator
zbMATH Keywords: separable uniformly smooth Banach space
zbMATH Keywords: iteration method
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6415
OpenAlex ID: W2026334538
cites work: Existence, uniqueness and approximation of a solution for a k-positive definite operator equation
cites work: Approximation of a solution for a \(K\)-positive definite operator equation
cites work: Direct and Iterative Methods for the Solution of Linear Operator Equations in Hilbert Space
cites work: An iterative procedure for constructing zeros of accretive sets in Banach spaces
cites work: Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
DOI: 10.1006/JMAA.1999.6415
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description: scientific article; zbMATH DE number 1340169