[HTML][HTML] Iterative methods for the computation of fixed points of demicontractive mappings
CE Chidume, Ş Măruşter - Journal of computational and applied …, 2010 - Elsevier
CE Chidume, Ş Măruşter
Journal of computational and applied mathematics, 2010•ElsevierThis 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.
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.
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.
Elsevier
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