Fixed Point Theory for Admissible Type Maps with Applications

By Ravi P. Agarwal, Donal O'Regan. 2009

58 citations recorded by the source corpus.

We present new Leray-Schauder alternatives, Krasnoselskii and Lefschetz fixed point theory for multivalued maps between Fréchet spaces. As an application we show that our results are directly applicable to establish the existence of integral equations over infinite intervals.

Subfields: Applied Mathematics, Control and Systems Engineering, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/4cbb9a997589bff3a6c1a80909de5538f24026ec