ABOUT GEOMETRICAL CONVERGENCE OF GENERAL ITERATIVE METHODS APPLIED TO NONUNIQUE SOLVABLE CONVEX PROBLEMS .1.

[摘要] General conditions are 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. A thorough discussion to improve the occurring error estimates is added. The results are applied to the approximate solution of convex problems, where M is constituted by the solution set and (x(k)) is generated by a corresponding general iterative method.

[发布日期] 1994-09-20

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