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Nonlinear alternatives for multivalued maps with applications to operator inclusions in abstract spaces
Author(s):
Donal
O'Regan
Journal:
Proc. Amer. Math. Soc.
127
(1999),
3557-3564.
MSC (1991):
Primary 47H10, 54C60, 54H25
Posted:
May 13, 1999
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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.
References:
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Additional Information:
Donal
O'Regan
Affiliation:
Department of Mathematics, National University of Ireland, Galway, Ireland
Email:
donal.oregan@nuigalway.ie
DOI:
10.1090/S0002-9939-99-04949-7
PII:
S 0002-9939(99)04949-7
Received by editor(s):
September 10, 1997
Received by editor(s) in revised form:
February 13, 1998
Posted:
May 13, 1999
Communicated by:
Dale Alspach
Copyright of article:
Copyright
1999,
American Mathematical Society
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