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A New Approach to Soft Continuity

Author

Listed:
  • Sandeep Kaur

    (Department of Mathematics, Akal University, Talwandi Sabo, Bathinda 151302, India)

  • Tareq M. Al-shami

    (Department of Mathematics, Sana’a University, Sana’a P.O. Box 1247, Yemen
    Department of Engineering Mathematics & Physics, Faculty of Engineering & Technology, Future University, New Cairo 11835, Egypt)

  • Alkan Özkan

    (Department of Mathematics, Faculty of Arts and Sciences, Iǧdır University, Iǧdır 18300, Turkey)

  • M. Hosny

    (Department of Mathematics, Faculty of Science for Girls, King Khalid University, Abha 61471, Saudi Arabia)

Abstract

The concept of continuity in topological spaces has a very important place. For this reason, a great deal of work has been done on continuity, and many generalizations of continuity have been obtained. In this work, we seek to find a new approach to the study of soft continuity in soft topological spaces in connection with an induced mapping based on soft sets. By defining the *-image of a soft set, we define an induced soft mapping and present its related properties. To elaborate on the obtained results and relationships, we furnish a number of illustrative examples.

Suggested Citation

  • Sandeep Kaur & Tareq M. Al-shami & Alkan Özkan & M. Hosny, 2023. "A New Approach to Soft Continuity," Mathematics, MDPI, vol. 11(14), pages 1-11, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3164-:d:1197314
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    References listed on IDEAS

    as
    1. Zanyar A. Ameen & Tareq M. Al-shami & Radwan Abu-Gdairi & Abdelwaheb Mhemdi, 2023. "The Relationship between Ordinary and Soft Algebras with an Application," Mathematics, MDPI, vol. 11(9), pages 1-12, April.
    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. Metin Akdag & Alkan Ozkan, 2014. "Soft -Open Sets and Soft -Continuous Functions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, February.
    4. Tareq M. Al-shami & Huseyin Isik, 2021. "Homeomorphism and Quotient Mappings in Infrasoft Topological Spaces," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, August.
    5. Samer Al Ghour, 2022. "Between the Classes of Soft Open Sets and Soft Omega Open Sets," Mathematics, MDPI, vol. 10(5), pages 1-14, February.
    6. Li Yang & Xuezhi Ben & Ming Zhang & Chongguang Cao, 2014. "Induced Maps on Matrices over Fields," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, February.
    7. Athar Kharal & B. Ahmad, 2011. "Mappings On Soft Classes," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 7(03), pages 471-481.
    8. Gómez-Rueda, José L. & Illanes, Alejandro & Méndez, Héctor, 2012. "Dynamic properties for the induced maps in the symmetric products," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1180-1187.
    Full references (including those not matched with items on IDEAS)

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