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Generalized Topological Essentiality and Coincidence Points of Multivalued Maps

  • Grzegorz GaborEmail author
  • Lech Górniewicz
  • Mirosław Ślosarski
Article

Abstract

A concept of generalized topological essentiality for a large class of multivalued maps in topological vector Klee admissible spaces is presented. Some direct applications to differential equations are discussed. Using the inverse systems approach the coincidence point sets of limit maps are examined. The main motivation as well as main aim of this note is a study of fixed points of multivalued maps in Fréchet spaces. The approach presented in the paper allows to check not only the nonemptiness of the fixed point set but also its topological structure.

Keywords

Topological degree Klee admissible spaces Fixed points Multivalued maps Inverse systems Topological structure Limit map Admissible maps Differential inclusions Fréchet spaces 

Mathematics Subject Classifications (2000)

54H25 47H10 55M20 

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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  • Grzegorz Gabor
    • 1
    Email author
  • Lech Górniewicz
    • 1
  • Mirosław Ślosarski
    • 2
  1. 1.Faculty of Mathematics and Computer ScienceNicolaus Copernicus University of ToruńToruńPoland
  2. 2.Technical University of KoszalinKoszalinPoland

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