Skip to main content
SpringerLink
Log in

A Fixed Point Theorem and an Equilibrium Point of an Abstract Economy in H-spaces

  • Original papers
  • Published:
Acta Mathematicae Applicatae Sinica, English Series Aims and scope Submit manuscript

Abstract

In this note we first prove a fixed point theorem in H-spaces which unities and extends the corresponding results in [6] and [9]. Then, by applying the fixed point theorem, we prove an existence theorem of an equilibrium point of an abstract economy in H-spaces which improves and generalizes similar result in [4].

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Aubin, J.P. Optima and Equilibria. Springer–Verlag, Berlin, Heidelberg, 1993

  2. Bardaro, C., Ceppitelli, R. Some further generalizations of Knaster–Kuratowski–Mazurkiewicz theorem and minimax inequalities. J. Math. Anal. Appl., 132:484–490 (1988)

    Article  MathSciNet  Google Scholar 

  3. Browder, F.E. The fixed point theory of multivalued mappings in topological vector spaces. Math Ann. 117:283–301 (1968)

    Article  Google Scholar 

  4. Cubiotti, P., Nordo, G. On generalized games in H–spaces. Comment. Math. Univ. Carolinae 40, 1:175–180 (1999)

    MathSciNet  Google Scholar 

  5. Cuong, B.C. Some fixed point theorems for multifunctions with applications in game theory. Math. Dissertations, CCXIV:1–35 (1985)

    Google Scholar 

  6. Ding, X.P., Tan, K.K. A minimax inequality with applications to existence of equilibrium point and fixed point theorems. Colloq. Math., 63:233–247 (1992)

    MathSciNet  Google Scholar 

  7. Fan, K. A generalization of Tychonoff’s fixed point theorem. Math. Ann., 142:305–310 (1961)

    Article  MathSciNet  Google Scholar 

  8. Horvath, C.D. Contractibility and generalized convexity. J. Math. Anal. Appl., 156:341–357 (1991)

    Article  MathSciNet  Google Scholar 

  9. Huang, Y. Fixed point theorems with an application in generalized games. J. Math. Anal. Appl., 186:634–642 (1994)

    Article  MathSciNet  Google Scholar 

  10. Yuan, G.X.Z. The study of equilibria for abstract economics in topological vector spaces — a unified approach. Nonlinear Analysis, 37:409–430 (1999)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Shantou University, Shantou, 515063, China

    Ji-cheng Hou

Authors
  1. Ji-cheng Hou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ji-cheng Hou.

Additional information

Supported by the National Natural Science Foundation of China (Grant No. 10171043)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hou, Jc. A Fixed Point Theorem and an Equilibrium Point of an Abstract Economy in H-spaces . Acta Mathematicae Applicatae Sinica, English Series, English Series 19, 425–430 (2003). https://doi.org/10.1007/s10255-003-0117-z

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10255-003-0117-z

Keywords

2000 MR Subject Classification

Search

Navigation