On Halpern's Proximal Point Algorithm in p-Uniformly Convex Metric Spaces

被引：0
作者：
Izuchukwu, Chinedu [1 ,2 ]
Ogwo, Grace Nnennaya [1 ]
Mewomo, Oluwatosin Temitope [1 ]
机构：
[1] Univ Kwazulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa
[2] DSI NRF Ctr Excellence Math & Stat Sci CoE MaSS, Johannesburg, South Africa
来源：
THAI JOURNAL OF MATHEMATICS | 2024年 / 22卷 / 02期
关键词：
p-uniformly convex metric spaces; p-resolvent; convex functions; Halpern's iterations; proximal point algorithm; STRONG-CONVERGENCE THEOREM; ADAPTIVE STEP-SIZE; FIXED-POINT; NONEXPANSIVE-MAPPINGS; MONOTONE-OPERATORS; VARIATIONAL-INEQUALITIES; DEMIMETRIC MAPPINGS; INERTIAL ALGORITHM; EQUILIBRIUM; SMOOTHNESS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of this paper is to introduce a Halpern-type proximal point algorithm, comprising a nonexpansive mapping and a finite composition of p-resolvent mappings associated with proper convex and lower semicontinuous functions. A strong convergence of the proposed algorithm to a common solution of a finite family of minimization problems and fixed point problems for a nonexpansive mapping is established in a complete p-uniformly convex metric space. Also, numerical examples of the proposed algorithm in nonlinear settings are given to illustrate the applicability of the obtained results.
引用
收藏
页码：335 / 361
页数：27
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