A study on nonsymmetric cone normed spaces

Yıl 2020, Cilt: 22 Sayı: 1, 381 - 393, 10.01.2020

Merve İlkhan

https://doi.org/10.25092/baunfbed.685159

Öz

In the realms of theoretical computer science and approximation theory, asymetric normed spaces play an important role. In this paper, by combining asymmetric norm and cone norm, it is defined asymmetric cone normed spaces. Also, it is introduced and studied some topological concepts in asymmetric cone normed spaces.

Anahtar Kelimeler

Asymmetric norm, cone norm, convergence, completeness

Simetrik olmayan konik normlu uzaylar üzerine bir çalışma

Öz

Teorik bilgisayar bilimi ve yaklaşım teorisi alanlarında asimetrik normlu uzaylar önemli bir rol oynamaktadır. Bu çalışmada asimetrik norm ve konik norm birleştirilerek asimetrik konik normlu uzaylar tanımlanmaktadır. Ayrıca asimetrik konik normlu uzaylarda bazı topolojik kavramlar tanıtılmakta ve çalışılmaktadır

Anahtar Kelimeler

Asimetrik norm, konik norm, yakınsaklık, tamlık

Kaynakça

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