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Admissible Hybrid Z‐Contractions in Extended b‐Metric Spaces

Author

Listed:
  • Quanita Kiran
  • Mamuna Azhar
  • Hassen Aydi
  • Yaé Ulrich Gaba

Abstract

In this paper, we define the notation of admissible hybrid Z‐contractions in the setting of extended b‐metric spaces, which unifies and generalizes previously existing results in literature. Furthermore, as an application, we discuss Ulam‐Hyers stability and well‐posedness of a fixed point problem.

Suggested Citation

  • Quanita Kiran & Mamuna Azhar & Hassen Aydi & Yaé Ulrich Gaba, 2021. "Admissible Hybrid Z‐Contractions in Extended b‐Metric Spaces," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:5579577
    DOI: 10.1155/2021/5579577
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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. Erdal Karapınar & Andreea Fulga, 2019. "New Hybrid Contractions on b -Metric Spaces," Mathematics, MDPI, vol. 7(7), pages 1-15, June.
    3. Nabil Mlaiki & Hassen Aydi & Nizar Souayah & Thabet Abdeljawad, 2018. "Controlled Metric Type Spaces and the Related Contraction Principle," Mathematics, MDPI, vol. 6(10), pages 1-7, October.
    4. H. R. Marasi & H. Aydi & Naeem Saleem, 2021. "Existence and Uniqueness Results for Two-Term Nonlinear Fractional Differential Equations via a Fixed Point Technique," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, January.
    5. Hasanen A. Hammad & Manuel De la Sen, 2021. "Exciting Fixed Point Results under a New Control Function with Supportive Application in Fuzzy Cone Metric Spaces," Mathematics, MDPI, vol. 9(18), pages 1-23, September.
    6. Haitham Qawaqneh & Mohd Salmi Md Noorani & Wasfi Shatanawi & Hassen Aydi & Habes Alsamir, 2019. "Fixed Point Results for Multi-Valued Contractions in b −Metric Spaces and an Application," Mathematics, MDPI, vol. 7(2), pages 1-13, February.
    7. Tayyab Kamran & Maria Samreen & Qurat UL Ain, 2017. "A Generalization of b -Metric Space and Some Fixed Point Theorems," Mathematics, MDPI, vol. 5(2), pages 1-7, March.
    8. Qasim Mahmood & Abdullah Shoaib & Tahair Rasham & Muhammad Arshad, 2019. "Fixed Point Results for the Family of Multivalued F -Contractive Mappings on Closed Ball in Complete Dislocated b -Metric Spaces," Mathematics, MDPI, vol. 7(1), pages 1-11, January.
    9. N. Mlaiki & K. Abodayeh & H. Aydi & T. Abdeljawad & M. Abuloha, 2018. "Rectangular Metric-Like Type Spaces and Related Fixed Points," Journal of Mathematics, Hindawi, vol. 2018, pages 1-7, September.
    10. Thabet Abdeljawad & Nabil Mlaiki & Hassen Aydi & Nizar Souayah, 2018. "Double Controlled Metric Type Spaces and Some Fixed Point Results," Mathematics, MDPI, vol. 6(12), pages 1-10, December.
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