Strong convergence of the composition of firmly nonexpansive mappings

被引：0

作者：

de Brito, Jose Marcio Machado ^{[2
]}

Neto, Joao Xavier da Cruz ^{[1
]}

Melo, italo Dowell Lira ^{[1
]}

机构：

[1] Univ Fed Piaui, Dept Math, Teresina, PI, Brazil

[2] Fed Inst Piaui, Dept Math, Sao Raimundo Nonato, PI, Brazil

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2024年 / 90卷 / 04期

关键词：

Firmly nonexpansive mappings; p-Uniformly convex space; Alternating projections; Strong convergence; CAT(kappa) space; BOUNDED LINEAR REGULARITY; ASYMPTOTIC-BEHAVIOR; ERROR-BOUNDS; PROJECTION; SETS;

D O I：

10.1007/s10898-024-01417-w

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we provide a necessary and sufficient condition under which the compositions of finitely many firmly non expansive mappings in a p-uniformly convex space converge strongly. In particular, we obtain convergence results for the method of alternating projections in CAT(kappa) spaces, with kappa >= 0. We also study the rate of convergence of the sequence generated by the method in cases where the firmly non expansive mappings satisfy an error bound, and the set of fixed points of these mappings is boundedly linearly regular.

引用

页码：891 / 907

页数：17

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