Title of article :
A fixed point theorem for a compact and connected set in Hilbert space
Author/Authors :
Duru, Hulya Istanbul University - Faculty of Science - Mathematics Department, TURKEY
Abstract :
Let (H, ) be a real Hilbert space and let K be a compact and connected subset of H. We show that every continuous mapping T : K -- K satisfying a mild condition has a fixed point.
Keywords :
Fixed point , nonexpansive mapping , Hilbert space a fixed point theorem for a compact and connected set in Hilbert space
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
