A parallel viscosity extragradient method for solving a system of pseudomonotone equilibrium problems and fixed point problems in Hadamard spaces

被引：1

作者：

Aremu, Kazeem Olalekan ^{[1
,2
]}

Jolaoso, Lateef Olakunle ^{[2
]}

Aphane, Maggie ^{[2
]}

Oyewole, Olawale Kazeem ^{[3
,4
]}

机构：

[1] Usmanu Danfodiyo Univ Sokoto, Dept Math, PMB 2346, Sokoto, Sokoto State, Nigeria

[2] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, POB 94, ZA-0204 Medunsa, Ga Rankuwa, South Africa

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

[4] DST NRF Ctr Excellence Math & Stat Sci CoE MaSS, Johannesburg, South Africa

来源：

RICERCHE DI MATEMATICA | 2024年 / 73卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Extragradient method; Equilibrium problems; Common fixed point; Pseudomontone; Hadamard spaces; VARIATIONAL-INEQUALITIES; DELTA-CONVERGENCE; ALGORITHMS; MAPPINGS; PROJECTION; FAMILY; SET;

D O I：

10.1007/s11587-021-00640-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study a parallel viscosity extragradient method for approximating a common solution of a finite system of pseudomonotone equilibrium problems and common fixed point problem for nonexpansive mappings in Hadamard spaces. We propose an iterative method and prove its strong convergence to an element in the intersection of the solution set of finite system of equilibrium problems and the fixed points set of nonexpansive mappings. Furthermore, we give an example in a Hadamard space which is not an Hilbert space to support the convergence theorem in the paper. This result generalizes and extends recent results in the literature.

引用

页码：819 / 840

页数：22

共 52 条

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[2]

Ansari Q., 2014, it Nonlinear Analysis: Approximation Theory, P281, DOI [10.1007/978-81-322-1883-8, DOI 10.1007/978-81-322-1883-8_9]

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