Some Similarity between Contractions and Kannan Mappings

Contractions are always continuous and Kannan mappings are not necessarily continuous. This is a very big difference between both mappings. However, we know that relaxed both mappings are quite similar. In this paper, we discuss both mappings from a new point of view.

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Published in:Fixed point theory and applications (Hindawi Publishing Corporation) Vol. 2008; pp. 1 - 9
Main Authors: Kikkawa, Misako, Suzuki, Tomonari
Format: Journal Article
Language:English
Published: SpringerOpen 01.01.2008
ISSN:1687-1820, 1687-1812
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Abstract Contractions are always continuous and Kannan mappings are not necessarily continuous. This is a very big difference between both mappings. However, we know that relaxed both mappings are quite similar. In this paper, we discuss both mappings from a new point of view.
AbstractList Contractions are always continuous and Kannan mappings are not necessarily continuous. This is a very big difference between both mappings. However, we know that relaxed both mappings are quite similar. In this paper, we discuss both mappings from a new point of view.
Author Suzuki, Tomonari
Kikkawa, Misako
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Snippet Contractions are always continuous and Kannan mappings are not necessarily continuous. This is a very big difference between both mappings. However, we know...
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