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Topological Quasilinear Spaces
Joint Authors
Çakan, Sümeyye
Yılmaz, Yılmaz
Aytekin, Şahika
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-02
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We introduce, in this work, the notion of topological quasilinear spaces as a generalization of the notion of normed quasilinear spaces defined by Aseev (1986).
He introduced a kind of the concept of a quasilinear spaces both including a classical linear spaces and also nonlinear spaces of subsets and multivalued mappings.
Further, Aseev presented some basic quasilinear counterpart of linear functional analysis by introducing the notions of norm and bounded quasilinear operators and functionals.
Our investigations show that translation may destroy the property of being a neighborhood of a set in topological quasilinear spaces in contrast to the situation in topological vector spaces.
Thus, we prove that any topological quasilinear space may not satisfy the localization principle of topological vector spaces.
American Psychological Association (APA)
Yılmaz, Yılmaz& Çakan, Sümeyye& Aytekin, Şahika. 2012. Topological Quasilinear Spaces. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-510842
Modern Language Association (MLA)
Yılmaz, Yılmaz…[et al.]. Topological Quasilinear Spaces. Abstract and Applied Analysis No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-510842
American Medical Association (AMA)
Yılmaz, Yılmaz& Çakan, Sümeyye& Aytekin, Şahika. Topological Quasilinear Spaces. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-510842
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510842