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Fixed Points of Closed and Compact Composite Sequences of Operators and Projectors in a Class of Banach Spaces
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-17
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Some results on fixed points related to the contractive compositions of bounded operators in a class of complete metric spaces which can be also considered as Banach’s spaces are discussed through the paper.
The class of composite operators under study can include, in particular, sequences of projection operators under, in general, oblique projective operators.
In this paper we are concerned with composite operators which include sequences of pairs of contractive operators involving, in general, oblique projection operators.
The results are generalized to sequences of, in general, nonconstant bounded closed operators which can have bounded, closed, and compact limit operators, such that the relevant composite sequences are also compact operators.
It is proven that in both cases, Banach contraction principle guarantees the existence of unique fixed points under contractive conditions.
American Psychological Association (APA)
de La Sen, Manuel. 2013. Fixed Points of Closed and Compact Composite Sequences of Operators and Projectors in a Class of Banach Spaces. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-463623
Modern Language Association (MLA)
de La Sen, Manuel. Fixed Points of Closed and Compact Composite Sequences of Operators and Projectors in a Class of Banach Spaces. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-463623
American Medical Association (AMA)
de La Sen, Manuel. Fixed Points of Closed and Compact Composite Sequences of Operators and Projectors in a Class of Banach Spaces. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-463623
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463623