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Title
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Fixed points of contractive maps on dcpo's
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Author
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Abstract
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| In this paper we study approach structures on dcpo's. A dcpo (X, ≤) will be endowed with several other structures: the Scott topology; an approach structure generated by a collection of weightable quasi metrics on X; and a collection of weights corresponding to the quasi metrics. Understanding the interaction between these structures on X will eventually lead to some fixed-point theorems for the morphisms in the category of approach spaces, which are called contractions. Existing fixed-point theorems on both monotone and non-monotone maps are obtained as special cases. |
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Language
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English
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Source (journal)
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Mathematical structures in computer science. - Cambridge
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Publication
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Cambridge
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2013
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ISSN
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0960-1295
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DOI
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10.1017/S0960129513000017
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Volume/pages
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(2013)
, p. 1-18
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ISI
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000348597100003
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Full text (Publisher's DOI)
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