Global optimal solutions for noncyclic mappings in $G$-metric spaces

Abstract

In this paper, the existence of solutions of some minimization problems for noncyclic mappings in G metric spaces is studied. Our results can be considered as an extension of Abkar and Gabeleh's result [Global Optimal Solutions of Noncyclic Mappings in Metric Spaces, J. Optim. Theory. Appl. 153 (2011), 298-305] to the case of G metric spaces.