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Fixed point theory for multivalued maps in Fréchet spaces via degree and index theory

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New fixed point results are presented for multivalued maps defined on subsets of a Fréchet space E. The proof relies on the notion of a pseudo open set, degree and index theory, and on viewing E as the projective limit of a sequence of Banach spaces.
  • Department of Mathematical Science, Florida Institute of Technology, Melbourne, Florida 32901, USA
  • Department of Mathematics, National University of Ireland, Galway, Ireland
  • Department of Applied Mathematics, Shri Shankaracharya College of Engineering & Technology, Junwani, Bhilai-490020, India
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