Some Maximal Elements’ Theorems in FC-Spaces

نویسندگان

  • Rong-Hua He
  • Yong Zhang
  • Nikolaos Papageorgiou
چکیده

Let I be a finite or infinite index set, let X be a topological space, and let Yi, φNi i∈I be a family of FC-spaces. For each i ∈ I, letAi : X → 2i be a set-valued mapping. Some new existence theorems of maximal elements for a set-valued mapping and a family of set-valued mappings involving a better admissible set-valuedmapping are established under noncompact setting of FC-spaces. Our results improve and generalize some recent results.

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تاریخ انتشار 2009