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

O’Regan, Donal

doi:10.1090/S0002-9939-99-04949-7

Nonlinear alternatives for multivalued maps with applications to operator inclusions in abstract spaces
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Proc. Amer. Math. Soc. 127 (1999), 3557-3564 Request permission

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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