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Fixed Point Theorems for Set‐Valued L‐Contractions in Branciari Distance Spaces

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  • Seong-Hoon Cho

Abstract

In this paper, the notion of set‐valued L‐contractions is introduced, and a new fixed point theorem for such contractions is established. An example to illustrate main theorem is given.

Suggested Citation

  • Seong-Hoon Cho, 2021. "Fixed Point Theorems for Set‐Valued L‐Contractions in Branciari Distance Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnlaaa:v:2021:y:2021:i:1:n:6384818
    DOI: 10.1155/2021/6384818
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    References listed on IDEAS

    as
    1. Maryam A. Alghamdi & Selma Gulyaz-Ozyurt & Erdal Karapınar, 2020. "A Note on Extended Z -Contraction," Mathematics, MDPI, vol. 8(2), pages 1-14, February.
    2. Huseyin Isik & Nurcan Bilgili Gungor & Choonkil Park & Sun Young Jang, 2018. "Fixed Point Theorems for Almost Z-Contractions with an Application," Mathematics, MDPI, vol. 6(3), pages 1-8, March.
    3. Tomonari Suzuki, 2014. "Generalized Metric Spaces Do Not Have the Compatible Topology," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, August.
    4. M. A. Kutbi & Jamshaid Ahmad & Nawab Hussain & Muhammad Arshad, 2013. "Common Fixed Point Results for Mappings with Rational Expressions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Seong-Hoon Cho, 2018. "Fixed Point Theorems for L‐Contractions in Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2018(1).
    6. Seong-Hoon Cho, 2018. "Fixed Point Theorems for - Contractions in Generalized Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2018, pages 1-6, December.
    7. Tomonari Suzuki, 2014. "Generalized Metric Spaces Do Not Have the Compatible Topology," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    8. Rawan Alsubaie & Badr Alqahtani & Erdal Karapınar & Antonio Francisco Roldán López de Hierro, 2020. "Extended Simulation Function via Rational Expressions," Mathematics, MDPI, vol. 8(5), pages 1-29, May.
    9. M. A. Kutbi & Jamshaid Ahmad & Nawab Hussain & Muhammad Arshad, 2013. "Common Fixed Point Results for Mappings with Rational Expressions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, June.
    10. Muhammad Arshad & Jamshaid Ahmad & Erdal Karapınar, 2013. "Some Common Fixed Point Results in Rectangular Metric Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-7, March.
    Full references (including those not matched with items on IDEAS)

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