Fixed Point Theory and Applications (Aug 2017)

Fixed points of set-valued maps in locally complete spaces

  • Carlos Bosch,
  • César L García,
  • Thomas Gilsdorf,
  • Claudia Gómez-Wulschner,
  • Rigoberto Vera

DOI
https://doi.org/10.1186/s13663-017-0607-y
Journal volume & issue
Vol. 2017, no. 1
pp. 1 – 11

Abstract

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Abstract We prove an extension of the Pareto optimization criterion to locally complete locally convex vector spaces to guarantee the existence of fixed points of set-valued maps.

Keywords