2017
Том 69
№ 7

All Issues

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

Dehghan Nezhad A., Mazaheri H.

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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.

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