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Zeitschrift für Analysis und ihre Anwendungen


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Volume 19, Issue 3, 2000, pp. 853–862
DOI: 10.4171/ZAA/984

Published online: 2000-09-30

A Multiplicity Fixed Point Theorem in Fréchet Spaces

Donal O'Regan[1]

(1) National University of Ireland, Galway, Ireland

A new multiplicity result is presented for maps between Fréchet spaces. Our argument relies on fixed point results in Banach spaces together with a result on hemicompact maps. An application is also given to illustrate how the theory can be applied in practice.

Keywords: Fixed point theory, multiplicity results

O'Regan Donal: A Multiplicity Fixed Point Theorem in Fréchet Spaces. Z. Anal. Anwend. 19 (2000), 853-862. doi: 10.4171/ZAA/984