IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n230708.html

Fixed Points of Multivalued Contractive Mappings in Partial Metric Spaces

Author

Listed:
  • Abdul Rahim Khan
  • Mujahid Abbas
  • Talat Nazir
  • Cristiana Ionescu

Abstract

The aim of this paper is to present fixed point results of multivalued mappings in the framework of partial metric spaces. Some examples are presented to support the results proved herein. Our results generalize and extend various results in the existing literature. As an application of our main result, the existence and uniqueness of bounded solution of functional equations arising in dynamic programming are established.

Suggested Citation

  • Abdul Rahim Khan & Mujahid Abbas & Talat Nazir & Cristiana Ionescu, 2014. "Fixed Points of Multivalued Contractive Mappings in Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:230708
    DOI: 10.1155/2014/230708
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/230708
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/230708?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. Hemant Kumar Nashine & Zoran Kadelburg, 2013. "Cyclic Contractions and Fixed Point Results via Control Functions on Partial Metric Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-9, February.
    2. Hassen Aydi & Wasfi Shatanawi & Mihai Postolache & Zead Mustafa & Nedal Tahat, 2012. "Theorems for Boyd-Wong-Type Contractions in Ordered Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, September.
    3. Mohamed Jleli & Erdal Karapınar & Bessem Samet, 2013. "Further Remarks on Fixed‐Point Theorems in the Context of Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Mohamed Jleli & Erdal Karapınar & Bessem Samet, 2013. "Further Remarks on Fixed-Point Theorems in the Context of Partial Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, September.
    5. Hassen Aydi & Wasfi Shatanawi & Mihai Postolache & Zead Mustafa & Nedal Tahat, 2012. "Theorems for Boyd‐Wong‐Type Contractions in Ordered Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    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. Sumit Chandok & Simona Dinu, 2013. "Common Fixed Points for Weak ψ‐Contractive Mappings in Ordered Metric Spaces with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Marta Demma & Mohamed Jleli & Bessem Samet & Calogero Vetro, 2014. "A Note on Best Approximation in 0‐Complete Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Anwar Bataihah & Wasfi Shatanawi & Tariq Qawasmeh & Raed Hatamleh, 2020. "On ℋ-Simulation Functions and Fixed Point Results in the Setting of ωt -Distance Mappings with Application on Matrix Equations," Mathematics, MDPI, vol. 8(5), pages 1-14, May.
    4. Ondrej Rozinek & Monika Borkovcova, 2023. "Theorems for Boyd–Wong Contraction Mappings on Similarity Spaces," Mathematics, MDPI, vol. 11(20), pages 1-10, October.
    5. Erdal Karapınar & Vladimir Rakocević, 2013. "On Cyclic Generalized Weakly C‐Contractions on Partial Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

    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:jnlaaa:v:2014:y:2014:i:1:n:230708. 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/4058 .

    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.