Approximating fixed points of nonexpansive and generalized nonexpansive mappings
Manoranjan Maiti, Barna Saha · International Journal of Mathematics and Mathematical Sciences · 1991
In this paper we consider a mapping S of the form S=α0I+α1T+α2T2+…+αKTK , where αi≥0 . 0$" xmlns:mml="http://www.w3.org/1998/Math/MathML">α1>0 with ∑i=0kαi=1 , and show that in a uniformly convex Banach space the Picard iterates of S converge to a fixed point of T when T is nonexpansive or generalized nonexpansive or even quasinonexpansive.