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KKM mappings in metric spaces

✍ Scribed by A. Amini; M. Fakhar; J. Zafarani


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
182 KB
Volume
60
Category
Article
ISSN
0362-546X

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✦ Synopsis


We introduce the class of KKM-type mappings on metric spaces and establish some fixed point theorems for this class. We also obtain a generalized Fan's matching theorem, a generalized Fan-Browder's type theorem, and a new version of Fan's best approximation theorem.


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In hyperconvex metric spaces, we introduce Knaster᎐Kuratowski᎐Mazurkiewicz mappings. Then we prove an analogue to Ky Fan's fixed point theorem in hyperconvex metric spaces.