ABOUT GEOMETRICAL CONVERGENCE OF GENERAL ITERATIVE METHODS APPLIED TO NONUNIQUE SOLVABLE CONVEX PROBLEMS .2.

[摘要] In Part I of this paper (in the preceding issue) general conditions were given in a Hilbert space setting, ensuring the geometrical convergence of a sequence (x(k)) to a fixed element x* of a convex and closed subset M. Furthermore, corresponding error estimates were presented and some applications to the approximate solution of convex problems with a solution set M were indicated. In this part the mentioned applications are investigated in more detail. We use the iterative scheme x(k+1) = T-k(x(k) - lambda(k)t(k)) to get elements in M, where the occurring operators T-k, elements t(k) and parameters lambda(k) fulfil certain relations depending on M.

[发布日期] 1994-09-30

[关键词] HILBERT SPACE;CONVEX PROBLEMS;ITERATIVE METHODS;RELAXATION PARAMETERS;SUBGRADIENT METHODS;SUCCESSIVE PROJECTIONS;GEOMETRICAL CONVERGENCE;FEJER MONOTONE SEQUENCES