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Research Article | Open Access

Soft strong θ-continuity and soft almost strong θ-continuity

Dina Abuzaid1, Samer Al-Ghour2( )
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan
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Abstract

We continued the study of "soft strong θ-continuity" and defined and investigated "soft almost strong θ-continuity" which is a generalization of soft strong θ-continuity. We gave characterizations and examined soft composition concerning these two concepts. Furthermore, we derived several soft mapping theorems. We provided several links between these two ideas and their related concepts through examples. Lastly, we looked at the symmetry between them and their topological counterparts.

Keywords

soft θ-opennesssoft δ -opennesssoft strong θ-continuitygenerated soft topology
CLC number: 54A40, 05C72

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AIMS Mathematics
Volume 9 Issue 6,
May 2024
Pages 16687-16703
DOI: 10.3934/math.2024809

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Cite this article:
Abuzaid D, Al-Ghour S. Soft strong θ-continuity and soft almost strong θ-continuity. AIMS Mathematics, 2024, 9(6): 16687-16703. https://doi.org/10.3934/math.2024809

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Received: 26 February 2024
Revised: 17 April 2024
Accepted: 28 April 2024
Published: 14 May 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)