IDEAS home Printed from https://ideas.repec.org/a/wly/jjmath/v2022y2022i1n7142651.html

Study of Metric Space and Its Variants

Author

Listed:
  • Surjeet Singh Chauhan (Gonder)
  • Prachi Garg
  • Kamleshwar Thakur

Abstract

The objective of this paper is to present a comparative study of metric space and its variants. This study will provide the structure, gap analysis, and application of metric space and its variants from 1906 to 2021.

Suggested Citation

  • Surjeet Singh Chauhan (Gonder) & Prachi Garg & Kamleshwar Thakur, 2022. "Study of Metric Space and Its Variants," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
  • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:7142651
    DOI: 10.1155/2022/7142651
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2022/7142651
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2022/7142651?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Gunaseelan Mani & Lakshmi Narayan Mishra & Vishnu Narayan Mishra & Imran Abbas Baloch & Manuel De La Sen & Jen-Chih Yao, 2020. "Application to Coupled Fixed-Point Theorems on Complex Partial b-Metric Space," Journal of Mathematics, Hindawi, vol. 2020, pages 1-11, November.
    4. Khalil Javed & Hassen Aydi & Fahim Uddin & Muhammad Arshad & Xiaolong Qin, 2021. "On Orthogonal Partial b-Metric Spaces with an Application," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kushal Roy & Sayantan Panja & Mantu Saha & Vahid Parvaneh, 2020. "An Extended b‐Metric‐Type Space and Related Fixed Point Theorems with an Application to Nonlinear Integral Equations," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    2. Amiri, Pari & Afshari, Hojjat, 2022. "Common fixed point results for multi-valued mappings in complex-valued double controlled metric spaces and their applications to the existence of solution of fractional integral inclusion systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    3. 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).
    4. Swati Parashar & Manoj Kumar & Pankaj Kumar & Rahul Shukla, 2025. "Controlled Metric Space and Fixed Point Theorems for Jaggi–Suzuki–Type Hybrid Contraction," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).
    5. Manoj Kumar & Swati Parashar & Pankaj Kumar & Rahul Shukla, 2025. "Generalized α − ψ Rational‐Type Contractions and Related Fixed Point Results in Controlled Metric Spaces," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    6. Hasanen A. Hammad & Mohra Zayed, 2022. "New Generalized Contractions by Employing Two Control Functions and Coupled Fixed-Point Theorems with Applications," Mathematics, MDPI, vol. 10(17), pages 1-18, September.
    7. Kushal Roy & Mantu Saha & Vahid Parvaneh & Maryam Khorshidi, 2022. "A New Variant of Symmetric Distance Spaces and an Extension of the Banach Fixed‐Point Theorem," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    8. Nayab Alamgir & Quanita Kiran & Hassen Aydi & Aiman Mukheimer, 2019. "A Mizoguchi–Takahashi Type Fixed Point Theorem in Complete Extended b -Metric Spaces," Mathematics, MDPI, vol. 7(5), pages 1-15, May.
    9. Abdullah Eqal Al-Mazrooei & Jamshaid Ahmad, 2022. "Fixed Point Results in Controlled Metric Spaces with Applications," Mathematics, MDPI, vol. 10(3), pages 1-15, February.
    10. Umar Ishtiaq & Salha Alshaikey & Muhammad Bilal Riaz & Khaleel Ahmad, 2024. "Fixed point results in intuitionistic fuzzy pentagonal controlled metric spaces with applications to dynamic market equilibrium and satellite web coupling," PLOS ONE, Public Library of Science, vol. 19(8), pages 1-33, August.
    11. Thangaraj, C. & Easwaramoorthy, D. & Selmi, Bilel & Chamola, Bhagwati Prasad, 2024. "Generation of fractals via iterated function system of Kannan contractions in controlled metric space," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 222(C), pages 188-198.
    12. Naeem Saleem & Salman Furqan & Kinda Abuasbeh & Muath Awadalla, 2023. "Fuzzy Triple Controlled Metric like Spaces with Applications," Mathematics, MDPI, vol. 11(6), pages 1-30, March.
    13. Shivani Kukreti & Shivam Rawat & Mohammad Sajid & R. C. Dimri, 2025. "Fixed‐Point Result for Generalized Enriched Contractions With Applications in Cantilever Beam Problem and Homotopy Theory," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    14. Jayashree Patil & Basel Hardan & Ahmed A. Hamoud & Amol Bachhav & Homan Emadifar & Afshin Ghanizadeh & Seyyed Ahmad Edalatpanah & Hooshmand Azizi, 2022. "On (η, γ)(f, g)‐Contractions in Extended b‐Metric Spaces," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    15. Nabil Mlaiki & Mohamed Hajji & Thabet Abdeljawad, 2020. "A New Extension of the Rectangular b‐Metric Spaces," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    16. Shengquan Weng & Hongying Xiao, 2025. "Related Fixed Point Results for LB3S2‐Type Cyclic Mapping in Extended b‐Metric Spaces With an Application," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    17. Chol Jin Kil, 2025. "An Improvement of Recent Fixed Point Results in Double‐Composed Partial Metric Spaces," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).
    18. Umar Ishtiaq & Doha A. Kattan & Khaleel Ahmad & Salvatore Sessa & Farhan Ali, 2023. "Fixed Point Results in Controlled Fuzzy Metric Spaces with an Application to the Transformation of Solar Energy to Electric Power," Mathematics, MDPI, vol. 11(15), pages 1-17, August.
    19. Azham Ilyass & Naveen Mani & Rahul Shukla, 2025. "Reich Graph Contraction in Graphically Extended b‐Metric Spaces With Applications to Cantilever Beam Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).
    20. Gunaseelan Mani & Salma Haque & Arul Joseph Gnanaprakasam & Ozgur Ege & Nabil Mlaiki, 2023. "The Study of Bicomplex-Valued Controlled Metric Spaces with Applications to Fractional Differential Equations," Mathematics, MDPI, vol. 11(12), pages 1-19, June.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:7142651. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/1469 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.