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International Journal of Mathematics and Mathematical Sciences
Article . 1991 . Peer-reviewed
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Fixed points and continuity for multivalued mappings

Authors: Troy L. Hicks; Billy E. Rhoades;

Fixed points and continuity for multivalued mappings

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.

Keywords

fixed point, multivalued mapping., Fixed-point and coincidence theorems (topological aspects), QA1-939, continuity, Mathematics, Set-valued maps in general topology

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    Top 10%
    influence
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    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
17
Top 10%
Top 10%
Average
gold