New results in $G$-best approximation in $G$-metric spaces

• Datum: 2010
• Hauptverfasser: Dehghan, Nezhad A., Mazaheri, H., Дегхан, Нежад А., Мазахері, Х.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2010
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2888
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The purpose of this paper is to introduce and discuss the concepts of G-best approximation and $a_0$ -orthogonality in the theory of $G$-metric spaces. We consider the relationship between these concepts and the dual $X$ and obtain some results on subsets of $G$-metric spaces similar to normed space...