A generalization of the Petryshyn-Leggett-Williams fixed point theorem with applications to integral inclusions
Agarwal, R.P. O'Regan, D.
O'Regan, D.
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Abstract
The existence of three fixed points is established for multivalued maps which satisfy an axiomatic index theory. Our results enable us to develop criteria for the existence of three nonnegative solutions to integral inclusions. © 2001 Elsevier Science Inc. All rights reserved.
Keywords
Axiomatic index theory, Integral inclusions, Multiple solutions
Source Title
Applied Mathematics and Computation
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Date
2001-09-25
DOI
10.1016/S0096-3003(00)00077-1
Type
Article