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arXiv:1304.1033 [math.OC]AbstractReferencesReviewsResources

A Fixed Point Theorem and Equilibria of Abstract Economies with w-Upper Semicontinuous Set-Valued Maps

Carlos Hervés-Beloso, Monica Patriche

Published 2013-04-03Version 1

We introduce the notion of w-upper semicontinuous set valued maps and give a new fixed-point theorem. We also introduce the notion of set valued maps with e-USS-property. These results can be applied to obtain some new equilibrium theorems for abstract economies.

Comments: 16 pages. arXiv admin note: substantial text overlap with arXiv:1303.7227, arXiv:1303.6979
Categories: math.OC
Subjects: 47H10, 91A47, 91A80
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