Fixed point index for Krasnosel'skii-type set-valued maps on complete ANRs

Wojciech Kryszewski, Jarosław Mederski

Abstract


In the paper a fixed-point index for a class of the
so-called Krasnoselski{\u\i}-type set-valued maps defined locally on arbitrary
absolute neighbourhood retracts is presented. Various applications to the
existence problems for constrained differential inclusions and equations are
provided.

Keywords


Set-valued map; fixed-point index; contraction; absolute neighbourhood retract

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