A generalization of Fan's matching theorem

S. Chebbi , Pascal Gourdel (1, 2) , Hakim Hammami (1, 2)

1 CES - Centre d'économie de la Sorbonne
2 PSE - Paris School of Economics

We introduce a generalized coercivity type condition for setvalued maps defined on topological spaces endowed with a generalized convex structure and we extend Fan's matching theorem.

Mots clés: L-structure; non-Hausdorff topology; KKM map; L-coercing family; Fan-KKM theorem; fixed point

Domaines: Economies et finances

S. Chebbi, Pascal Gourdel, Hakim Hammami. A generalization of Fan's matching theorem. Journal of Fixed Point Theory and Applications, 2011, 9 (1), pp.117-124. ⟨10.1007/s11784-010-0022-z⟩. ⟨hal-00756058v1⟩