Coincidences of composites of u.s.c. maps on h-spaces and applications

  • Park, Seh-Ie (Department of Mathematics Seoul National University) ;
  • Kim, Hoon-Joo (Department of Mathematics Daebul Institute of Science and Technology)
  • Published : 1995.05.01

Abstract

Applications of the classical Knaster-Kuratowski-Mazurkiewicz (si-mply, KKM) theorem and the fixed point theory of multifunctions defined on convex subsets of topological vector spaces have been greatly improved by adopting the concept of convex spaces due to Lassonde [L1]. In this direction, the first author [P5] found that certain coincidence theorems on a large class of composites of upper semicontinuous multifunctions imply many fundamental results in the KKM theory.

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