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New fixed-point theorems for two maps and applications to problems on sets with convex sections and minimax inequalities

✍ Scribed by K.Q. Lan

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 774 KB
Volume: 47
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(04)90016-8

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✦ Synopsis

New fixed-point theorems for two maps defined on product spaces are obtained. These new results only require one of them to satisfy a noncompactness condition. Previous results required each map to satisfy a noncompactness condition. Applications of our results are given to intersection problems for transfer-closed maps, to problems on sets with convex sections, and to minimax inequalities of Sian-type. Our results generalize many well-known results.@ 2004 Elsevier Ltd. All rights reserved.

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