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Proceedings of the American Mathematical Society

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Nonlinear alternatives for multivalued maps
with applications to operator inclusions
in abstract spaces

Author: Donal O'Regan
Journal: Proc. Amer. Math. Soc. 127 (1999), 3557-3564
MSC (1991): Primary 47H10, 54C60, 54H25
Published electronically: May 13, 1999
MathSciNet review: 1610765
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Abstract: A nonlinear alternative of Leray-Schauder type is presented for condensing operators with closed graph. We will then use this theorem to establish new existence principles for differential and integral inclusions in Banach spaces.

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Additional Information

Donal O'Regan
Affiliation: Department of Mathematics, National University of Ireland, Galway, Ireland

Received by editor(s): September 10, 1997
Received by editor(s) in revised form: February 13, 1998
Published electronically: May 13, 1999
Communicated by: Dale Alspach
Article copyright: © Copyright 1999 American Mathematical Society