Iterative solutions for systems of nonlinear operator equations in Banach space
type: Item
instance of: scholarly article
title: Iterative solutions for systems of nonlinear operator equations in Banach space
zbMATH Open document ID: 1047.47049
DOI: 10.1016/S0252-9602(17)30489-7
published in: Acta Mathematica Scientia. Series B. (English Edition)
publication date: 2004-03-02T00:00:00Z
review text: On a real Banach space with a partial ordering induced by a normal cone, the author considers a system of nonlinear equations of the form (1) \(u = A(u,u), u = B(u,u)\) under a particular set of assumptions for the operators \(A\) and \(B\) that do not require them to be mixed monotone or continuous. The convergence of a specific iterative scheme is proved and related results for the existence and uniqueness of solutions of (1) are discussed.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H07
zbMATH DE Number: 2029328
zbMATH Keywords: partially-ordered Banach space
zbMATH Keywords: nonlinear equations
zbMATH Keywords: iteration scheme
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
author: Guangxing Song
reviewed by: Werner C. Rheinboldt
MaRDI profile type: Publication
full work available at URL: s0252-9602(17)30489-7
OpenAlex ID: W2783856877
description: scientific article; zbMATH DE number 2029328