KKM and KY fan theorems in modular function spaces

Abstract

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.

Keywords

• fixed point
• KKM mapping
• Ky Fan's theorem
• modular function space