Equivalent normed quasilinear spaces
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Iksad Publications
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Aseev introduced the concepts of quasilinear spaces and normed quasilinear spaces, in his article [1]. He
used the partial order relation to define quasilinear spaces. He stated properties and results which are
quasilinear counterparts of some results in classical linear functional analysis. Also, in [1], he defined the
some new concepts which are only meaningful in normed quasilinear spaces.
We give, in this presentation, some new results and examples on quasilinear spaces and normed quasilinear
spaces. Further, we introduce the concept of equivalent norms on a quasilinear space. By novelty of the new
definition, we state on the Hausdorff metric properties for equivalent norms which are extend to the
quasilinear context some results of linear functional analysis.
Açıklama
Anahtar Kelimeler
Quasilinear Space, Normed Quasilinear Spaces, Equivalent Normed Quailinear Spaces
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Bozkurt, H., Yılmaz, Y. (2018). Equivalent normed quasilinear spaces. 3rd. International Congress on Mathematic, Engineering and Natural Sciences, 21-22 April 2018, Mardin.
