ITERATIVE SOLUTIONS OF SPLIT FIXED POINT AND MONOTONE INCLUSION PROBLEMS IN HILBERT SPACES

被引：0

作者：

Mewomo O.T. ^{[1
]}

Okeke C.C. ^{[1
,2
]}

Ogbuisi F.U. ^{[1
,2
]}

机构：

[1] School of Mathematics, Statistics and Computer Science, University of Kwazulu-Natal, Durban

[2] DSI-NRF Center of Excellence in Mathematical and Statistical Sciences, Johannesburg

来源：

Journal of Applied and Numerical Optimization | 2023年 / 5卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Algorithm implementation; Demicontractive mapping; Equilibrium problem; Minimization problem; Monotone inclusion;

D O I：

10.23952/jano.5.2023.2.06

中图分类号：

学科分类号：

摘要：

Our purpose in this paper is to propose an iterative method involving a step-size selected in such a way that its implementation does not require the computation or an estimate of the spectral radius. Using our algorithm, we state and prove a strong convergence theorem of a common solution to a monotone inclusion problem and a fixed point problem of multi-valued Lipschitz hemicontractive-type mappings, whose image under a bounded linear operator is a fixed point of a demicontractive mapping. Our result generalizes some important and recent results in the literature. © 2023 Journal of Applied and Numerical Optimization.

引用

页码：271 / 285

页数：14

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