New iterative methods to solve equations and systems in ordered spaces
type: Item
instance of: scholarly article
title: New iterative methods to solve equations and systems in ordered spaces
zbMATH Open document ID: 1023.47051
DOI: 10.1016/S0362-546X(01)00891-4
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2002-11-28T00:00:00Z
review text: The existence of solutions to the nonlinear equation \(Lu=Nu\) is studied by means of iterative methods. Here, \(L\) and \(N\) denote mappings between ordered spaces. The author firstly proves the existence of an upper solution and then applies the method of successive approximations that leads to the existence result. This result also implies some fixed point theorem. The example given at the end of the paper is somewhat academic.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H07
Mathematics Subject Classification ID: 47J05
zbMATH DE Number: 1836642
zbMATH Keywords: ordered spaces
zbMATH Keywords: iterative method
zbMATH Keywords: method of successive approximations
zbMATH Keywords: fixed point theorem
author: S. Heikkilä
reviewed by: Etienne Emmrich
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1836642