A general degree for function triples (Q367298)
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scientific article; zbMATH DE number 6212167
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A general degree for function triples |
scientific article; zbMATH DE number 6212167 |
Statements
A general degree for function triples (English)
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26 September 2013
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degree theory
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fixed point index
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coincidence degree
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nonlinear Fredholm map
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multivalued map
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This is a continuation of the author's investigation in [Fixed Point Theory Appl. 2006, No. 3, 36361, 30 p. (2006; Zbl 1118.54025)] about extending procedures for degree theories satisfying certain axioms to the situation of so called function triples of the form NEWLINE\[NEWLINEY \overset {F}\longleftarrow X\overset {p}\longleftarrow\Gamma\overset {q}\longrightarrow Y,NEWLINE\]NEWLINE under fairly general assumptions. This can be used for coincidence inclusions \(F(x)\in q(p^{-1}(x)\). Special focus is put on the reduction property (resembling the Leray-Schauder procedure of extending the Brouwer degree, although it is more technical here).
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0.7821535468101501
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0.7522032260894775
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0.7264663577079773
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