IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/41299.html
   My bibliography  Save this paper

Fixed Points Theorems for Mappings with Non-compact and Non-Convex Domains

Author

Listed:
  • Tian, Guoqiang

Abstract

This note gives some fixed point theorems for lower and upper semi-continuous mappings and mappings with open lower sections defined on non-compact and non-convex sets. It will be noted that the conditions of our theorems are not only sufficient but also necessary. Also our theorems generalize some well-known fixed point theorems such as the Kakutani fixed point theorem and the Brouwer-Schauder fixed point theorem by relaxing the compactness and convexity conditions.

Suggested Citation

  • Tian, Guoqiang, 1989. "Fixed Points Theorems for Mappings with Non-compact and Non-Convex Domains," MPRA Paper 41299, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:41299
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/41299/1/MPRA_paper_41299.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Tian, Guoqiang, 1990. "Equilibrium in abstract economies with a non-compact infinite dimensional strategy space, an infinite number of agents and without ordered preferences," Economics Letters, Elsevier, vol. 33(3), pages 203-206, July.
    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. Trockel, Walter & Haake, Claus-Jochen, 2017. "Thoughts on social design," Center for Mathematical Economics Working Papers 577, Center for Mathematical Economics, Bielefeld University.
    2. Cristina Stamate, 2024. "Vector Equilibrium Problems—A Unified Approach and Applications," Mathematics, MDPI, vol. 12(10), pages 1-21, May.
    3. L. J. Lin & Y. H. Liu, 2008. "The Study of Abstract Economies with Two Constraint Correspondences," Journal of Optimization Theory and Applications, Springer, vol. 137(1), pages 41-52, April.

    More about this item

    Keywords

    Fixed Points Theorems; Non-compact; Non-Convex; Domains;
    All these keywords.

    JEL classification:

    • D5 - Microeconomics - - General Equilibrium and Disequilibrium

    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:pra:mprapa:41299. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.