Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 51, Issue 3-4, Pages 589-604Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2005.07.017
Keywords
fixed-point theorem; functional differential inclusion
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In this paper, some fixed-point theorems for discontinuous multivalued operators on ordered spaces are proved. These theorems improve the earlier known fixed-point theorems of [1,2]. The main fixed-point theorems are applied to first-order discontinuous differential inclusions for proving the existence of extremal solutions under certain monotonicity conditions. (c) 2006 Elsevier Ltd. All rights reserved.
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