FIXED POINT THEOREMS FOR WEAKLY SEQUENTIALLY CLOSED MAPS

Donal O'Regan

Address. Department of Mathematics, National University of Ireland, Galway, IRELAND

E-mail: donal.oregan@nuigalway.ie

Abstract. A number of fixed point theorems are presented for weakly contractive maps which have weakly sequentially closed graph. Our results automatically lead to new existence theorems for differential inclusions in Banach spaces relative to the weak topology.

AMSclassification. 47H10, 47H15

Keywords. Fixed points, weakly sequentially closed maps, weakly contractive maps