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Partial soft metric spaces: Convergence
Matthew introduced a non-zero self distance which is called a partial metric as a part of the study of denotational semantics of dataflow network. In this study, we aim to extend the Matthew's notion to the soft universe and so, we give the definition of a partial soft metric.
ÇETKİN, VİLDAN, Vildan Çetkin
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Topology of soft cone metric spaces
In Simsek’s paper it was introduced a concept of soft cone metric space via soft elements and some fixed point theorems in soft cone metric space were provided. In this work, we examine topological structures such as open ball, soft neighbourhood and soft open set in soft metric spaces and their some properties, and prove that every soft cone metric ...
Altıntaş, İsmet +2 more
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A Study on Soft S-Metric Spaces
The first aim to this paper is to define soft S-metric space and to investigate some important theorems on sequential compact and totally bounded in soft S-metric space. Moreover, we introduce soft uniformly continuous mapping and examine some of its properties.
BAYRAMOV, Sadi +2 more
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SOFT SUPER-SPACE OF A SOFT METRIC SPACE WITH SOFT POINT
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2023In the study of Guzide Senel [14] introduce the soft distance function defined in soft topological space. In the present paper, we introduced soft superspace of soft metric spaces with soft points to contribute to the progress of softdistance function and some of its examples are also present here.
Kumawat, Sandeep, Gupta, Vandana
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SEQUENCE OF SOFT POINTS IN SOFT Δ-METRIC SPACES
Advances in Mathematics: Scientific Journal-, 2021In this paper, we have constructed a sequence of soft points in one soft set with respect to a fixed soft point of another soft set. The convergence and boundedness of these sequences in soft Δ-metric spaces are defined and their properties are established. Further, the complete soft Δ-metric spaces are introduced by defining soft Δ-Cauchy sequences.
P.G. Patil, N.N. Bhat
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A fixed point approach on bipolar neutrosophic soft metric space [PDF]
The main aim of this paper is to premise bipolar neutrosophic soft metric space (BNSMS) in terms of bipolar neutrosophic soft points. In addition, we define convergence of sequence, Cauchy sequence and completeness in BNSMS with appropriate examples ...
Z. Sumaiya Tasneem, G. Kalpana
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Soft $S_b$-Metric Spaces and Some of Its Properties
Electronic Journal of Mathematical Analysis and ApplicationsSummary: Firstly, we have founded a generalized concept of soft S-metric spaces, named soft \(S_b\)-metric space, based on soft points of soft sets, and some basic properties regarding soft \(S_b\)-metric spaces are studied with examples. After that, we have established a fixed point theorem on soft \(S_b\)-metric spaces with an application.
Badyakar, Utpal, Nazmul, Sk.
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Exploring soft super metric spaces and their fixed soft points
This paper introduces and examines the concept of soft super metric spaces, which combines the framework of soft set theory with the properties of super metric spaces. We establish fundamental definitions and properties of soft super metric spaces, and present several fixed point theorems for self-soft mappings on complete soft super metric spaces. TheBayramov, Sadi +2 more
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Fixed Point Theorems in Neutrosophic Soft Metric Space
Advances in Intelligent Systems and Computing, 2023Vishal Gupta
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