Fixed points of modular contractive maps
type: Item
instance of: scholarly article
title: Fixed points of modular contractive maps
zbMATH Open document ID: 1262.47079
DOI: 10.1134/S1064562412040163
published in: Doklady Mathematics
publication date: 2012-11-15T00:00:00Z
review text: The author gives a new notion of modular convergence and establishes a necessary and sufficient condition under which metric convergence is equivalent to modular convergence. Also, existence of fixed points of nonlinear maps in this context is proved. An application to the existence of solutions to a Carathéodory-type differential equation is given.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6106502
zbMATH Keywords: modular spaces
zbMATH Keywords: modular convergence
zbMATH Keywords: modular contractive maps
author: V. V. Chistyakov
MaRDI profile type: Publication
cites work: A fixed point theorem and its application to integral equations in modular function spaces
cites work: Covering mappings in metric spaces and fixed points
cites work: Selections of Bounded Variation
cites work: Metric modulars and their application
cites work: Modular metric spaces. I: Basic concepts
cites work: Q3688668
cites work: Q3998720
cites work: Handbook of metric fixed point theory
cites work: Fixed point theory in modular function spaces
cites work: Q3994690
cites work: Orlicz spaces and modular spaces
cites work: Q3994502
full work available at URL: s1064562412040163
OpenAlex ID: W1980747068
description: scientific article; zbMATH DE number 6106502