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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Vydané v:Fixed point theory and applications (Hindawi Publishing Corporation) Ročník 2008; s. 1 - 9
Hlavní autori: Kikkawa, Misako, Suzuki, Tomonari
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: SpringerOpen 01.01.2008
ISSN:1687-1820, 1687-1812
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Popis
Shrnutí: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.
ISSN:1687-1820
1687-1812
DOI:10.1155/2008/649749