IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2012y2012i1n896912.html

Generalized Proximal ψ‐Contraction Mappings and Best Proximity Points

Author

Listed:
  • Winate Sanhan
  • Chirasak Mongkolkeha
  • Poom Kumam

Abstract

We generalized the notion of proximal contractions of the first and the second kinds and established the best proximity point theorems for these classes. Our results improve and extend recent result of Sadiq Basha (2011) and some authors.

Suggested Citation

  • Winate Sanhan & Chirasak Mongkolkeha & Poom Kumam, 2012. "Generalized Proximal ψ‐Contraction Mappings and Best Proximity Points," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:896912
    DOI: 10.1155/2012/896912
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2012/896912
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/896912?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. Chirasak Mongkolkeha & Poom Kumam, 2011. "Fixed Point and Common Fixed Point Theorems for Generalized Weak Contraction Mappings of Integral Type in Modular Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-12, June.
    2. W. Sintunavarat & P. Kumam, 2011. "Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-12, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. M. De La Sen & Asier Ibeas, 2014. "Some Properties of Distances and Best Proximity Points of Cyclic Proximal Contractions in Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Maryam A. Alghamdi & Naseer Shahzad & Francesca Vetro, 2013. "Best Proximity Points for Some Classes of Proximal Contractions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

    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. Wutiphol Sintunavarat & Poom Kumam, 2011. "Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    2. Marwan Amin Kutbi & Mohammad Imdad & Sunny Chauhan & Wutiphol Sintunavarat, 2014. "Some Integral Type Fixed Point Theorems for Non‐Self‐Mappings Satisfying Generalized (ψ, φ)‐Weak Contractive Conditions in Symmetric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Muhammad Usman Ali & Tayyab Kamran & Erdal Karapınar, 2014. "An Approach to Existence of Fixed Points of Generalized Contractive Multivalued Mappings of Integral Type via Admissible Mapping," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Wutiphol Sintunavarat & Yeol Je Cho & Poom Kumam, 2012. "Coupled Fixed Point Theorems for Weak Contraction Mappings under F‐Invariant Set," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    5. Sunny Chauhan & M. Alamgir Khan & Wutiphol Sintunavarat, 2013. "Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying ϕ‐Contractive Condition with Common Limit Range Property," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. Parin Chaipunya & Chirasak Mongkolkeha & Wutiphol Sintunavarat & Poom Kumam, 2012. "Fixed‐Point Theorems for Multivalued Mappings in Modular Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    7. Chirasak Mongkolkeha & Poom Kumam, 2013. "Some Fixed Point Results for Generalized Weak Contraction Mappings in Modular Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-6, March.

    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:2012:y:2012:i:1:n:896912. 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.