Implicit approximation scheme for the solution of \(K\)-positive definite operator equation
type: Item
instance of: scholarly article
title: Implicit approximation scheme for the solution of \(K\)-positive definite operator equation
zbMATH Open document ID: 1473.47040
DOI: 10.1155/2014/683295
author: Nazeer Shahzad
author: A. Rafiq
author: H. Zegeye
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We construct an implicit sequence suitable for the approximation of solutions of \(K\)-positive definite operator equations in real Banach spaces. Furthermore, implicit error estimate is obtained and the convergence is shown to be faster in comparsion to the explicit error estimate obtained by \textit{M. O. Osilike} and \textit{A. Udomene} [Bull. Korean Math. Soc. 38, No. 2, 231--236 (2001; Zbl 0986.47010)].
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47A50
Mathematics Subject Classification ID: 47B01
zbMATH DE Number: 7022872
zbMATH Keywords: implicit approximation scheme
zbMATH Keywords: \(K\)-positive definite operator equations
zbMATH Keywords: real Banach spaces
zbMATH Keywords: implicit error estimate
zbMATH Keywords: convergence
Wikidata QID: Q59040567
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/683295
OpenAlex ID: W1973745076
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description: scientific article; zbMATH DE number 7022872