IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n635903.html

New Existence Results for Fixed Point Problem and Minimization Problem in Compact Metric Spaces

Author

Listed:
  • Weng-Seng Heng
  • Wei-Shih Du
  • Chi-Lin Yen

Abstract

We first present some new existence theorems for fixed point problem and minimization problem in compact metric spaces without assuming that mappings possess convexity property. Some applications of our results to new fixed point theorems for nonself mappings in the setting of strictly convex normed linear spaces and usual metric spaces are also given.

Suggested Citation

  • Weng-Seng Heng & Wei-Shih Du & Chi-Lin Yen, 2014. "New Existence Results for Fixed Point Problem and Minimization Problem in Compact Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:635903
    DOI: 10.1155/2014/635903
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/635903
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/635903?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. Wei-Shih Du, 2013. "On Caristi Type Maps and Generalized Distances with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Maryam A. Alghamdi & Vasile Berinde & Naseer Shahzad, 2013. "Fixed Points of Multivalued Nonself Almost Contractions," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-6, July.
    3. Wei-Shih Du & Erdal Karapınar & Naseer Shahzad, 2013. "The Study of Fixed Point Theory for Various Multivalued Non‐Self‐Maps," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Maryam A. Alghamdi & Vasile Berinde & Naseer Shahzad, 2013. "Fixed Points of Multivalued Nonself Almost Contractions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    5. Wei-Shih Du & Erdal Karapınar & Naseer Shahzad, 2013. "The Study of Fixed Point Theory for Various Multivalued Non-Self-Maps," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, August.
    6. Wei-Shih Du, 2013. "On Caristi Type Maps and Generalized Distances with Applications," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, September.
    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. Wei-Shih Du & Farshid Khojasteh, 2014. "New Results and Generalizations for Approximate Fixed Point Property and Their Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Muhammad Usman Ali & Quanita Kiran & Naseer Shahzad, 2014. "Fixed Point Theorems for Multivalued Mappings Involving α‐Function," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Ing-Jer Lin & Wei-Shih Du & Qiao-Feng Zheng, 2014. "Some New Fixed Point Theorems in Complex Valued G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Abbas, Mujahid & Anjum, Rizwan & Iqbal, Hira, 2022. "Generalized enriched cyclic contractions with application to generalized iterated function system," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).

    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:635903. 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.