AN INERTIAL FORWARD-BACKWARD SPLITTING METHOD FOR APPROXIMATING SOLUTIONS OF CERTAIN OPTIMIZATION PROBLEMS

被引：46

作者：

Abass, H. A. ^{[1
]}

Aremu, K. O. ^{[1
]}

Jolaoso, L. O. ^{[1
]}

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

机构：

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

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2020年

基金：

新加坡国家研究基金会;

关键词：

Split general system of variational inequalities; Minimization problem; Inertial iterative scheme; Fixed point problem; STRONG-CONVERGENCE; FIXED-POINT; VARIATIONAL INEQUALITY; MONOTONE-OPERATORS; WEAK-CONVERGENCE; ITERATIVE METHOD; ALGORITHM; MAPPINGS; MINIMIZATION; PROJECTION;

D O I：

10.23952/jnfa.2020.6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to introduce an inertial-type iterative algorithm for approximating solutions of a split general system of variational inequalities, minimization problems and fixed point problems of a finite family of quasi-nonexpansive mappings. We prove a strong convergence theorem in the framework of real Hilbert spaces. An application to split feasibility problems is also presented. A numerical example is provided to show the applicability of our main results.

引用

页数：20

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