Fixed points for contractive mappings of third order in pseudo- quasimetric spaces
type: Item
instance of: scholarly article
title: Fixed points for contractive mappings of third order in pseudo- quasimetric spaces
zbMATH Open document ID: 0723.54040
DOI: 10.1016/0019-3577(90)90015-F
author: Burbuqe Pepo
published in: Indagationes Mathematicae. New Series
publication date: 1990-01-01T00:00:00Z
review text: A class of maps is defined called contractive of third order and a class of spaces being a generalization of metric spaces and it is proved a theorem answering when for each point \(x_ 0\in X\), the sequence \((x_ n)=(f^ nx_ 0)\) converges to a fixed point of f. Some relations between contractive maps of third order and maps of Banach type are established.
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 4192640
zbMATH Keywords: Banach fixed point theorem
zbMATH Keywords: contractive maps of third order
reviewed by: Władysław Kulpa
MaRDI profile type: Publication
cites work: A Generalization of a Fixed Point Theorem of Reich
cites work: Some results on fixed points - III
cites work: Fixed point theorems for some discontinuous operators
cites work: A Comparison of Various Definitions of Contractive Mappings
cites work: Q3800609
description: scientific article; zbMATH DE number 4192640