Maximale Fixpunkte von Intervallfunktionen
type: Item
instance of: scholarly article
title: Maximale Fixpunkte von Intervallfunktionen
zbMATH Open document ID: 0535.65039
DOI: 10.1007/BF02240185
author: K.-U. Jahn
published in: Computing
publication date: 1984-01-01T00:00:00Z
review text: A fixed point theorem for interval functions and some modifications are stated. By the theorem, under the only premises of Schauder's fixed point theorem there is a fixed point which is maximal with respect to the inclusion relation. If in addition the interval function is inclusion isotonic, such fixed points can be obtained in a constructive manner. Then the well known fixed point theorems for isotonic, antitonic and sums of such functions in partially ordered Banach spaces are special cases. Applications to linear and nonlinear algebraic equations and to nonlinear integral equations with numerical examples are given.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H07
zbMATH DE Number: 3850391
zbMATH Keywords: interval mathematics
zbMATH Keywords: interval functions
zbMATH Keywords: Schauder's fixed point theorem
zbMATH Keywords: isotonic
zbMATH Keywords: antitonic
zbMATH Keywords: partially ordered Banach spaces
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
cites work: Q5514022
cites work: Q3922086
cites work: Q5551441
cites work: Q4055072
cites work: Q3911965
description: scientific article; zbMATH DE number 3850391