Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (1): 63-67.

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A New GLKKM Theorem and Its Application to Abstract Economies

  

  1. College of Civil Engineering and Architecture, Bijie University

  • Received:2009-10-25 Online:2012-03-30 Published:2023-04-06
  • About author:WEN Kai-ting(1962-), male, native of Dafang, Guizhou, a professor of Bijie University, M.S.D., engages in nonlinear analysis.
  • Supported by:
    Supported by the Natural Science Foundation of Guizhou Province([2011]2093); Supported by the Natural Scientific Research Foundation of Guizhou Provincial Education Department of China(2008072)

Abstract: In this paper, a new GLKKM theorem in L-convex spaces is established. As applications, a new fixed point theorem and a maximal element theorem are obtained in Lconvex spaces. Finally, equilibrium existence theorems for economies and qualitative games in L-convex spaces are yielded.


Key words: L-convex space, fixed point, maximal element, abstract economy, equilibrium

CLC Number: