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Multi-valued contraction mappings in generalized metric spaces

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Abstract

Several fixed point theorems for multi-valued global and local contraction mappings are proved. These results concerning contractions are then applied to obtain a fixed point theorem for a certain type of single-valued locally expansive mapping.

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Authors and Affiliations

  1. State University of New York at Buffalo, USA

    H. Covitz & S. B. Nadler

Authors
  1. H. Covitz
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  2. S. B. Nadler
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Covitz, H., Nadler, S.B. Multi-valued contraction mappings in generalized metric spaces. Israel J. Math. 8, 5–11 (1970). https://doi.org/10.1007/BF02771543

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  • DOI: https://doi.org/10.1007/BF02771543

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