Measures of Noncompactness on Ω-distance Spaces.

Document Type : Original Article


Department of Mathematics, National Institute of Technology, Hazratbal, Srinagar -190006, Jammu and Kashmir, India


. 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.


Main Subjects