In this paper, we define a metric on our new space and then show that this linear metric space is k-nearly uniform convex and has property beta where p = pk is a bounded sequence of positive real numbers. Finally, we give a result about property (H) by using k-nearly uniform convexity.
Çınar, Muhammed; Karakaş, Murat; and Et, Mikail
Some Geometric Properties of a New Type Metric Space,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 8,
2, Article 27.
Available at: https://digitalcommons.pvamu.edu/aam/vol8/iss2/27