Abstract:
It is well-known that the Picard sequence of iterates of a non-expansive mapping T from a closed & bounded subset C of a convex Banach space into itself need not converge to a fixed point of T. Therefore, for each point X in C, one considers a Picard sequence staring from rand generated by Tt where Tt x = t Tx + (1-t)x, t 4.(0, 1). The intent of this note is to present some convergence theorems for such sequences, which generalize several known results.
Page(s):
123-128
DOI:
DOI not available
Published:
Journal: Punjab University Journal of Mathematics, Volume: 14-15 , Issue: , Year: