TY  - JOUR
TI  - Compactness of soft cone metric space and fixed point theorems related to
diametrically contractive mapping
AB  - In this article, we describe the concepts such as sequentially soft closeness, sequential compactness, totally
boundedness and sequentially continuity in any soft cone metric space and prove their some properties. Also, we examine
soft closed set, soft closure, compactness and continuity in an elementary soft topological cone metric space. Unlike
classical cone metric space, sequential compactness and compactness are not the same here. Because the compactness is
an elementary soft topological property and cannot be defined for every soft cone metric space. However, in the restricted
soft cone metric spaces, they are the same. Additionally, we prove some fixed point theorems related to diametrically
contractive mapping in a complete soft cone metric space.
AU  - Taşköprü, Kemal
AU  - Altıntaş, İsmet
DO  - 10.3906/mat-2004-63
PY  - 2020
JO  - Turkish Journal of Mathematics
VL  - 44
IS  - 6
SN  - 1300-0098
SP  - 2199
EP  - 2216
DB  - TRDizin
UR  - http://search/yayin/detay/529434
ER  -