
doi: 10.3906/mat-2004-63
handle: 11552/6932
Summary: 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.
Elementary soft topology, Fixed-point and coincidence theorems (topological aspects), soft fixed point, Metric spaces, metrizability, elementary soft topology, soft cone metric, Topological spaces and generalizations (closure spaces, etc.), soft cover, soft compactness, soft net
Elementary soft topology, Fixed-point and coincidence theorems (topological aspects), soft fixed point, Metric spaces, metrizability, elementary soft topology, soft cone metric, Topological spaces and generalizations (closure spaces, etc.), soft cover, soft compactness, soft net
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 6 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
