Fixed Points and Generalized Hyers-Ulam Stability
Joint Authors
Cădariu, L.
Găvruţa, L.
Găvruţa, P.
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper we prove a fixed-point theorem for a class of operators with suitable properties, in very general conditions.
Also, we show that some recent fixed-points results in Brzdęk et al., (2011) and Brzdęk and Ciepliński (2011) can be obtained directly from our theorem.
Moreover, an affirmative answer to the open problem of Brzdęk and Ciepliński (2011) is given.
Several corollaries, obtained directly from our main result, show that this is a useful tool for proving properties of generalized Hyers-Ulam stability for some functional equations in a single variable.
American Psychological Association (APA)
Cădariu, L.& Găvruţa, L.& Găvruţa, P.. 2012. Fixed Points and Generalized Hyers-Ulam Stability. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-492567
Modern Language Association (MLA)
Cădariu, L.…[et al.]. Fixed Points and Generalized Hyers-Ulam Stability. Abstract and Applied Analysis No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-492567
American Medical Association (AMA)
Cădariu, L.& Găvruţa, L.& Găvruţa, P.. Fixed Points and Generalized Hyers-Ulam Stability. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-492567
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492567