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

• Date: 2010
• Main Authors: Dehghan, Nezhad A., Mazaheri, H., Дегхан, Нежад А., Мазахері, Х.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2888
• Journal Title: 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...