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Continuation methods for closed, weakly closed, DKT, and WDKT maps

โœ Scribed by R.P. Agarwal; D. O'Regan


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
443 KB
Volume
38
Category
Article
ISSN
0898-1221

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## We introduce the notion of an essential map for DKT, Pl-compact, weakly DKT, and weakly closed maps. The ideas involved are elementary and rely on Urysohn's Lemma and the "appropriate" Schauder fixed-point theorem for the maps involved. (~

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Some existence theorems of continuous selections for multivalued mappings with closed convex images are proved. As some simple applications, we give some results on fixed points and differential inclusions. The results presented in this paper generalize some recent results.