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KKM and KY fan theorems in modular function spaces

Keywords: fixed point , KKM mapping , Ky Fan's theorem , modular function space

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Abstract:

In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.

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