Regularization methods of finding fixed-point of extremal mappings
type: Item
instance of: scholarly article
title: Regularization methods of finding fixed-point of extremal mappings
zbMATH Open document ID: 0962.47025
author: F. P. Vasil'ev
author: Anatoliǐ Sergeevich Antipin
published in: Moscow University Computational Mathematics and Cybernetics
publication date: 2001-02-25T00:00:00Z
review text: Many problems of analysis, mathematical economy, operations research and computer mathematics are reduced to a fixed-point problem. But the problem of finding fixed-points of extremal mappings is unstable in relation to perturbations of the initial values. Therefore methods of regularization of the fixed-point of extremal mappings are necessary. Some generalizations of the known method -- stabilization method, quasi-solution method and others -- are presented in the article.
reviewed by: Sergei Georgievich Zhuravlev
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H14
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 1569660
zbMATH Keywords: extremal mappings
zbMATH Keywords: fixed-points
zbMATH Keywords: regularization
zbMATH Keywords: perturbations of the initial values
zbMATH Keywords: stabilization
zbMATH Keywords: quasi-solution method
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1569660