Fixed points and continuity for multivalued mappings

Troy Hicks and B. E. Rhoades

International Journal of Mathematics and Mathematical Sciences, 1992, vol. 15, 1-16

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.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:893291

DOI: 10.1155/S0161171292000024

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