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Some Fixed Point Theorems for Multivalued Maps and Applications

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Abstract

In order to obtain some existence results for certain generalized eigenvalue problems nd to study certain parametrized boundary value problems for second order differential nclusions, we generalize some fixed point theorems for completely continuous (single-valued) aps to the multivalued case. We illustrate our results with some examples.

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Authors and Affiliations

  1. Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada, T6G 2G1

    L. H. Erbe, W. Krawcewicz & Dajun Guo

  2. Shandong University Jinan, P.R. China and Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada, T6G 2G1

    L. H. Erbe, W. Krawcewicz & Dajun Guo

Authors
  1. L. H. Erbe
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  2. W. Krawcewicz
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  3. Dajun Guo
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Erbe, L.H., Krawcewicz, W. & Guo, D. Some Fixed Point Theorems for Multivalued Maps and Applications. Results. Math. 21, 42–64 (1992). https://doi.org/10.1007/BF03323071

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  • DOI: https://doi.org/10.1007/BF03323071

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