Approximating fixed points of nonexpansive and generalized nonexpansive mappings
In this paper we consider a mapping S of the form S=α0I+α1T+α2T2+…+αKTK, where αi≥0. 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....
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
1993-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171293000092 |