OICC Press Communications in Nonlinear Analysis 2371-7920 11 1 2025 11 09 Measures of Noncompactness on Ω-distance Spaces. EN Asif H Jan Tanweer H Jalal Journal Article 2025 11 09 . The aim of this article is to present a new framework for studying measures of noncompactness in G-metric spaces. First, we introduce the concept of Ω-distance space as an Ω-measure of non-compactness on G-metric spaces. Finally, we use our main result to characterize G-metric completeness.