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

Donal O'Regan

doi:10.1090/s0002-9939-99-04949-7

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

Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

33 Citations (Scopus)

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.

Original language	English
Pages (from-to)	3557-3564
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	127
Issue number	12
DOIs	https://doi.org/10.1090/s0002-9939-99-04949-7
Publication status	Published - 1999

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

Abstract

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