DING Xie-ping. Maximal Elements and Generalized Games Involving Condensing Mappings in Locally FC-Uniform Spaces and Applications(Ⅰ)[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1392-1399.
Citation: DING Xie-ping. Maximal Elements and Generalized Games Involving Condensing Mappings in Locally FC-Uniform Spaces and Applications(Ⅰ)[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1392-1399.

Maximal Elements and Generalized Games Involving Condensing Mappings in Locally FC-Uniform Spaces and Applications(Ⅰ)

  • Received Date: 2007-03-21
  • Rev Recd Date: 2007-10-27
  • Publish Date: 2007-12-15
  • First, the notions of the measure of noncompactness and condensing set-valued mappings were introduced in locally FC-uniform spaces without convexity structure. A new existence theorem of maximal elements of a family of set-valued mappings involving condensing mappings was proved in locally FC-uniform spaces. As applications, some new equilibrium existence theorems of generalized game involving condensing mappings were established in locally FC-uniform spaces. These results improve and generalize some known results in literature to locally FC-uniform spaces. Some further applications of the results to the systems of generalized vector quasi-equilibrium problems will be given in a follow-up paper.
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