On the Space of Functions with Growths Tempered by a Modulus of Continuity and Its Applications
Joint Authors
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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 theorem, we show the existence theorem for some quadratic integral equations of Fredholm type in the space of functions satisfying the Hölder condition.
An example illustrating the mentioned existence result is also included.
American Psychological Association (APA)
Banas, Józef& Nalepa, Rafał. 2013. On the Space of Functions with Growths Tempered by a Modulus of Continuity and Its Applications. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-500750
Modern Language Association (MLA)
Banas, Józef& Nalepa, Rafał. On the Space of Functions with Growths Tempered by a Modulus of Continuity and Its Applications. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-500750
American Medical Association (AMA)
Banas, Józef& Nalepa, Rafał. On the Space of Functions with Growths Tempered by a Modulus of Continuity and Its Applications. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-500750
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500750