Convergence : Partially ordered soft topological space

Shinde, Sopan Raosaheb

doi:10.47974/JIM-1809

Open Access Research Article

Convergence : Partially ordered soft topological space

^*Sopan Raosaheb ShindeCorresponding authorscholarswapnil@gmail.comDepartment of MathematicsSandip UniversityNashik, Maharashtra, 422213, IndiaView full profile →

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pp. 191–200Vol. 27Issue 2March 2024DOI: 10.47974/JIM-1809XML

Published Online:: 19 Mar 2024
Article type:: Research Article
Language:: EN
Article no.:: JIM-1809
Pages:: 191–200

Abstract

This research paper introduce Symmetrical and sequentially dense soft set and isometry in the context of POS topological space. Inspired by Matthew’s seminal work on dataflow network research, we extend the study to soft universe, bridging classical metrics with soft computing to represent imprecision in complex systems. We investigate sequence convergence in partial soft topological spaces, revealing essential insights and contributing to our understanding of partial soft metrics. Additionally, we introduce the idea of Convergence of partially ordered soft topological spaces along with we provide examples to support the obtained results and relations. In the future, these results can be further applied to analyze and understand the properties and convergence of soft topological spaces with the contraction condition for soft fixed point theory.

Keywords

POS topological space Convergence Cauchy sequence Completeness Symmetrical density

Subject Classifications

06D7254E50

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