A general degree for function triples

Martin Väth

Abstract


Consider a fixed class of maps $F$ for which there is a degree theory
for the coincidence problem $F(x)=\varphi(x)$ with compact $\varphi$.
It is proved that under very natural assumptions this degree extends
to a degree for function triples which in particular provides a degree
for coincidence inclusions $F(x)\in\Phi(x)$.

Keywords


Fixed point index; degree theory; coincidence index; coincidence degree; multivalued map; nonlinear Fredholm map

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