MULTIVALUED FIXED POINT THEOREMS WITHOUT STRONG COMPACTNESS VIA A GENERALIZATION OF MIDPOINT CONVEXITY

作者：Benedetti Irene^*; Bolognini Stella; Martellotti Anna

来源：Fixed Point Theory, 2014, 15(1): 3-22.

• Fixed points
• midpoint convex multimaps
• midpoint linear maps and multimaps
• n-players games

We investigate a generalization of midpoint convexity for multivalued maps, and derive fixed points theorems under this more general assumption without requiring any strong compactness condition. As an application we prove the existence of social equilibria for games with n players.

• 出版日期2014