A generalization of the Petryshyn-Leggett-Williams fixed point theorem with applications to integral inclusions

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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. (C) 2001 Elsevier Science Inc. All rights reserved.
Original languageEnglish (Ireland)
Number of pages11
JournalApplied Mathematics And Computation
Volume123
Publication statusPublished - 1 Sep 2001

Authors (Note for portal: view the doc link for the full list of authors)

  • Authors
  • Agarwal, RP;O'Regan, D

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