WEAK-CONVERGENCE TO A FIXED-POINT OF THE SEQUENCE OF MANN TYPE ITERATES

[摘要] Let T be a quasi-nonexpansive self-mapping of a closed convex subset of a uniformly convex Banach space satisfying Opial's condition with I-T demiclosed with respect to zero. Then the sequence {x(n)}n=1infinity, defined by x(n+1) = (1 - alpha(n))x(n) + alpha(n)Tx(n) converges weakly to some fixed point Of T. A similar result is obtained for continuous generalized nonexpansive mappings. (C) 1994 Academic Press, Inc.

[发布日期] 1994-05-15