Volume 7, Issue 1 (Vol.7, No. 1, 2021)
mmr 2021, 7(1): 67-82 |
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1- Higher Education Center of Eghlid , sranjbar@eghlid.ac.ir
2- University of Zanjan
2- University of Zanjan
Abstract: (1419 Views)
In this paper, we first present a preliminary study on metric segments and geodesics in metric spaces. Then we recall the concept of d-convexity of sets and functions in the sense of Menger and study some properties of d-convex sets and d-convex functions as well as extreme points and faces of d-convex sets in normed spaces. Finally we study the continuity of d-convex functions in geodesic metric spaces.
./files/site1/files/71/7.pdf
./files/site1/files/71/7.pdf
Keywords: Geodesic, Metric segment, d-convex set, Metric convex hull, d-convex function, Extreme point, Continuity.
Type of Study: Original Manuscript |
Subject:
Anal
Received: 2019/03/17 | Revised: 2021/05/24 | Accepted: 2019/11/9 | Published: 2021/05/31 | ePublished: 2021/05/31
Received: 2019/03/17 | Revised: 2021/05/24 | Accepted: 2019/11/9 | Published: 2021/05/31 | ePublished: 2021/05/31
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