Fixed point and continuation results for contractions in metric and gauge spaces
M. Frigon
Banach Center Publications, Tome 75 (2007), p. 89-114 / Harvested from The Polish Digital Mathematics Library
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We present an overview of generalizations of Banach's fixed point theorem and continuation results for contractions, i.e., results establishing that the existence of a fixed point is preserved by suitable homotopies. We will consider single-valued and multi-valued contractions in metric and in gauge spaces.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:281831 
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     title = {Fixed point and continuation results for contractions in metric and gauge spaces},
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     volume = {75},
     year = {2007},
     pages = {89-114},
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     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc77-0-8}
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M. Frigon. Fixed point and continuation results for contractions in metric and gauge spaces. Banach Center Publications, Tome 75 (2007) pp. 89-114. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc77-0-8/