A general degree for function triples

Martin Väth

doi:tmna/1461253860

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Home > Journals > Topol. Methods Nonlinear Anal. > Volume 41 > Issue 1 > Article

2013 A general degree for function triples

Martin Väth

Topol. Methods Nonlinear Anal. 41(1): 163-190 (2013).

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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 $F(x)\in\Phi(x)$.