Iterative selection methods for common fixed point problems

[摘要] Many problems encountered in applied mathematics can be recast as the problem of selecting a particular common fixed point of a countable family of quasi-nonexpansive operators in a Hilbert space. We propose two iterative methods to solve such problems. Our convergence analysis is shown to cover a variety of existing results in this area. Applications to solving monotone inclusion and equilibrium problems are considered. (c) 2006 Elsevier Inc. All rights reserved.

[发布日期] 2006-12-15

[关键词] fixed point;quasi-nonexpansive operator;maximal monotone operator;equilibrium problem;iterative methods