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Soft ω - θ -Continuous and Soft Weakly θ ω -Continuous Mappings

Author

Listed:
  • Samer Al Ghour

    (Department of Mathematics, Jordan University of Science and Technology, Irbid 22110, Jordan)

  • Hanan Al-Saadi

    (Department of Mathematics, Faculty of Applied Sciences, Umm Al-Qura University, Makkah 24225, Saudi Arabia)

Abstract

Soft ω - θ -continuity and soft weak- θ ω -continuity as two new concepts of continuity are presented and investigated. The investigation of the links between these forms of soft mappings and their general topological relatives is given. With the help of examples, it is investigated that soft ω - θ -continuity lies strictly between soft θ -continuity and soft weak-continuity, while soft weak- θ ω -continuity lies strictly between soft continuity (i.e., soft θ ω -continuity) and soft weak-continuity. A number of conditions for the equivalence between soft ω - θ -continuity and soft weak continuity (i.e., soft ω - θ -continuity and soft θ -continuity, soft weak- θ ω -continuity and soft weak-continuity, soft weak- θ ω -continuity and soft continuity) are obtained. Additionally, soft θ -closure and soft θ ω -closure operators are used to characterize our new types of soft mappings.

Suggested Citation

  • Samer Al Ghour & Hanan Al-Saadi, 2023. "Soft ω - θ -Continuous and Soft Weakly θ ω -Continuous Mappings," Mathematics, MDPI, vol. 11(19), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4092-:d:1248971
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    References listed on IDEAS

    as
    1. Metin Akdag & Alkan Ozkan, 2014. "Soft -Open Sets and Soft -Continuous Functions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, February.
    2. Tareq M. Al-shami & Abdelwaheb Mhemdi & Radwan Abu-Gdairi, 2023. "A Novel Framework for Generalizations of Soft Open Sets and Its Applications via Soft Topologies," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    3. Samer Al Ghour, 2021. "Weaker Forms of Soft Regular and Soft T 2 Soft Topological Spaces," Mathematics, MDPI, vol. 9(17), pages 1-13, September.
    4. Samajh Singh Thakur & Alpa Singh Rajput, 2018. "Connectedness Between Soft Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 53-71, March.
    Full references (including those not matched with items on IDEAS)

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