Diametral contractive mappings in reflexive banach spaces

Milan Taskovic
2002 Mathematica Moravica  
In this paper it is proved that if K is a nonempty bounded closed convex subset of a reflexive Banach space X and if K has normal structure, then any diametral contractive mapping T on K into itself has a fixed point.
doi:10.5937/matmor0206103t fatcat:aywprfcblfa3rlcjykt4kf2inm