Proximal-type algorithms for split minimization problem in P-uniformly convex metric spaces

被引：48

作者：

Izuchukwu, C. ^{[1
]}

Ugwunnadi, G. C. ^{[2
]}

Mewomo, O. T. ^{[1
]}

Khan, A. R. ^{[3
]}

Abbas, M. ^{[4
,5
]}

机构：

[1] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa

[2] Univ Eswatini, Dept Math, Kwaluseni, Eswatini

[3] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia

[4] Govt Coll Univ, Dept Math, Lahore, Pakistan

[5] Univ Pretoria, Dept Math & Appl Math, Pretoria, South Africa

来源：

NUMERICAL ALGORITHMS | 2019年 / 82卷 / 03期

关键词：

Split minimization problem; Proximal point algorithm; p-uniformly convex spaces; Resolvent; Convex functions; FIXED-POINT PROBLEMS; MONOTONE-OPERATORS; INCLUSION PROBLEM; ITERATIVE METHOD; CONVERGENCE; INEQUALITIES; PROJECTION;

D O I：

10.1007/s11075-018-0633-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study strong convergence of some proximal-type algorithms to a solution of split minimization problem in complete p-uniformly convex metric spaces. We also analyse asymptotic behaviour of the sequence generated by Halpern-type proximal point algorithm and extend it to approximate a common solution of a finite family of minimization problems in the setting of complete p-uniformly convex metric spaces. Furthermore, numerical experiments of our algorithms in comparison with other algorithms are given to show the applicability of our results.

引用

页码：909 / 935

页数：27

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