On the Space of Functions with Growths Tempered by a Modulus of Continuity and Its Applications

We are going to study the space of real functions defined on a bounded metric space and having growths tempered by a modulus of continuity. We prove also a sufficient condition for the relative compactness in the mentioned function space. Using that condition and the classical Schauder fixed point t...

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Bibliographic Details
Main Authors: Józef Banaś, Rafał Nalepa
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/820437