Iterative methods for the computation of fixed points of demicontractive mappings

作者：Chidume Charles E; Maruster Stefan^*

来源：Journal of Computational and Applied Mathematics, 2010, 234(3): 861-882.

DOI：10.1016/j.cam.2010.01.050

• Demicontractive mappings
• Mann iteration

This paper surveys some of the main convergence properties of the Mann-type iteration for the demicontractive mappings. Some variants of the Mann iteration that ensure the strong convergence, like the (CQ) algorithm and a variant for the asymptotically demicontractive mappings are also considered. The usual framework of our study is a (real) Hilbert space and only to a certain extent some particular Banach spaces. Historical aspects are pointed out and some applications for the convex feasibility problem are discussed.

• 出版日期2010-6-1