2019
Том 71
№ 6

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

Abstract

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 spaces.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 4, pp 648-654.

Citation Example: Dehghan Nezhad A., Mazaheri H. New results in $G$-best approximation in $G$-metric spaces // Ukr. Mat. Zh. - 2010. - 62, № 4. - pp. 567–571.

Full text