A selection theorem and its application

  • Lee, Gue-Myung (Department of Natural Sciences, Pusan National University of Technology) ;
  • Kim, Do-Sang (Department of Applied Mathematics, National Fisheries University of Pusan) ;
  • Lee, Byung-Soo (Department of Mathematics, Kyungsung University) ;
  • Cho, Sung-Jin (Department of Natural Sciences, Pusan National University of Technology)
  • Published : 1995.07.01

Abstract

In this paper, we give equivalent forms of the selection theorem of Ding-Kim-Tan. As applications of the selection theorem of Ding-Kim-Tan, we obtain a fixed point theroem of Gale and Mas-Colell type and establish an equilibrium existence theorem for a qualitative game under suitable assumptions in a locally convex Hausdorff topological vector space.

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