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Turkish Journal of Mathematics
Article . 2020 . Peer-reviewed
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zbMATH Open
Article . 2020
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Compactness of soft cone metric space and fixed point theorems related to diametrically contractive mapping

Authors: İsmet ALTINTAŞ; Kemal TAŞKÖPRÜ;

Compactness of soft cone metric space and fixed point theorems related to diametrically contractive mapping

Abstract

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.

Country
Turkey
Related Organizations
Keywords

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

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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).
BIP!Citations provided by BIP!
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.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Top 10%
gold