On the Stability of Soft Fixed Point in Soft Topological
Space

Samer Adnan Jubair; Mohammed H. O. Ajam

doi:https://doi.org/10.14445/22315373/IJMTT-V69I10P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 10 | Year 2023 | Article Id. IJMTT-V69I10P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I10P505

On the Stability of Soft Fixed Point in Soft Topological Space

Samer Adnan Jubair, Mohammed H. O. Ajam

Received	Revised	Accepted	Published
24 Aug 2023	29 Sep 2023	18 Oct 2023	31 Oct 2023

Abstract

This paper introduces stable and strongly sable of soft fixed point and studied some of their properties. The notations of converge of sequence and discrete dynamical system are generalized using soft sets. As a continuation of this, the concept of orbit was discussed to investigate the behavior of soft point under soft mapping. Also, many basic properties of these notations was presented. In addition, the concepts associated to soft points have been used to characterize soft open sets. Moreover, using some of topological properties to obtain a results concerning with soft fixed points. In particular the uniqueness of soft fixed point have been provided, which is guaranteed to exist.

Keywords

Converge of soft sequence, Discrete dynamical system, Soft fixed point, Soft set, Soft orbit.

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Citation :

Samer Adnan Jubair, Mohammed H. O. Ajam, "On the Stability of Soft Fixed Point in Soft Topological Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 10, pp. 31-38, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I10P505