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Generalized Topological Essentiality and Coincidence Points of Multivalued Maps

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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.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Nicolaus Copernicus University of Toruń, Chopina 12/18, 87-100, Toruń, Poland

    Grzegorz Gabor & Lech Górniewicz

  2. Technical University of Koszalin, Śniadeckich 2, 75-453, Koszalin, Poland

    Mirosław Ślosarski

Authors
  1. Grzegorz Gabor
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  2. Lech Górniewicz
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  3. Mirosław Ślosarski
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Correspondence to Grzegorz Gabor.

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Gabor, G., Górniewicz, L. & Ślosarski, M. Generalized Topological Essentiality and Coincidence Points of Multivalued Maps. Set-Valued Anal 17, 1–19 (2009). https://doi.org/10.1007/s11228-009-0106-3

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  • DOI: https://doi.org/10.1007/s11228-009-0106-3

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