DING Xie-ping. System of Coincidence Theorems in Product Topological Spaces and Applications(Ⅰ)[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1401-1408.
Citation: DING Xie-ping. System of Coincidence Theorems in Product Topological Spaces and Applications(Ⅰ)[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1401-1408.

System of Coincidence Theorems in Product Topological Spaces and Applications(Ⅰ)

  • Received Date: 2004-10-10
  • Rev Recd Date: 2005-08-17
  • Publish Date: 2005-12-15
  • A new notion of finite continuous topological space (in short,FC-space) without convexity structure was introduced.A new continuous selection theorem was established in FC-spaces.By applying the continuous selection theorem,some new coincidence theorems for two families of set-valued mappings defined on product space of noncompact FC-spaces are proved under much weak assumptions.These results generalize many known results in recent literature.Some applications will be given in a follow-up paper.
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