Advertisement

Applied Mathematics and Mechanics

, Volume 12, Issue 9, pp 863–869 | Cite as

Generalized variational inequalities and minimax theorems

  • Yan Xin-li
  • Li Bing-you
Article
  • 14 Downloads

Abstract

In the present paper we discuss the variational problem of operator which maps a Hausdorff topological linear space into a Riesz space[6]. We give absolute inequality and relative inequality, respectively.

Key words

finite closed set KKM mapping Riesz space Gwinner theorem 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Aubin, J.P. and L. Ekeland,Applied Nonlinear Analysis, New York, Wiley-Interscience Publication (1984).Google Scholar
  2. [2]
    Lassonde, M.. On the use of KKM multifunctions in fixed point theorems and scalated topicJ. Math. Anal. Appl.,9 (1983), 151–201.MathSciNetCrossRefGoogle Scholar
  3. [3]
    Shi Shu-zhong, convex set separable theorem and its application for a complete vector lattice,Chin. Ann. Math.,6 A,4 (1985), 431–438. (in Chinese)Google Scholar
  4. [4]
    Wang Su-shen, A convex cone separable theorem and its application in a partially ordered linear space,Appl. Math. Acta,9, 3 (1986), 309–318. (in Chinese)zbMATHGoogle Scholar
  5. [5]
    Bardaro, C., and P. ceppitelli, Some further generalizations of Kanster-Kuratowski-Mazurkiewicz theorem and minimax inequalities,J. Math. Anal. Appl.,132 (1988) 484–490.zbMATHMathSciNetCrossRefGoogle Scholar
  6. [6]
    Guan Zhao-zhi.The Course of Functional Analysis, Higher Education Press (1958). (in Chinese)Google Scholar
  7. [7]
    Gwinner, J. On fixed points and variational inequalities — A circular tour,Nonlinear Anal.,5, 5 (1981), 565–583.zbMATHMathSciNetCrossRefGoogle Scholar

Copyright information

© Shanghai University of Technology (SUT) 1991

Authors and Affiliations

  • Yan Xin-li
    • 1
  • Li Bing-you
    • 2
  1. 1.Xi'an Institute of Metallurgy and Construction EngXi'an
  2. 2.Hebei Normal UniversityShijiazhuang

Personalised recommendations