MULTI-STEP ITERATIVE ALGORITHM FOR MINIMIZATION AND FIXED POINT PROBLEMS IN P-UNIFORMLY CONVEX METRIC SPACES

被引：37
|
作者：
Aremu, Kazeem Olalekan [1 ]
Izuchukwu, Chinedu [1 ,2 ]
Ogwo, Grace Nnenanya [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：
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2021年 / 17卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
p-uniformly convex metric spaces; asymptotically k-strictly pseudo-contractive mapping; p-resolvent operator; Delta-convergence; CONVERGENCE; MAPPINGS;
D O I：
10.3934/jimo.2020063
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we propose and study a multi-step iterative algorithm that comprises of a finite family of asymptotically ki-strictly pseudocontractive mappings with respect to p, and a p-resolvent operator associated with a proper convex and lower semicontinuous function in a p-uniformly convex metric space. Also, we establish the Delta-convergence of the proposed algorithm to a common fixed point of finite family of asymptotically ki-strictly pseudocontractive mappings which is also a minimizer of a proper convex and lower semicontinuous function. Furthermore, nontrivial numerical examples of our algorithm are given to show its applicability. Our results complement a host of recent results in literature.
引用
收藏
页码：2161 / 2180
页数：20
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