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Fixed points and continuity for multivalued mappings

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  • Troy Hicks
  • B. E. Rhoades

Abstract

Many of the contractive definitions do not require continuity of the map. However, in a previous paper the second author has shown in [1] that, in most cases, the function is continuous at a fixed point. In this paper we show that the same behavior is exhibited for many multivalued mappings.

Suggested Citation

  • Troy Hicks & B. E. Rhoades, 1992. "Fixed points and continuity for multivalued mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 15, pages 1-16, January.
    • Handle: RePEc:hin:jijmms:893291
    DOI: 10.1155/S0161171292000024
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