STRONG CONVERGENCE RESULTS FOR VARIATIONAL INEQUALITY AND EQUILIBRIUM PROBLEM IN HADAMARD SPACES

被引：0

作者：

Ugwunnadi, G. C. ^{[1
]}

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

Khan, A. R. ^{[2
]}

Jolaoso, L. O. ^{[3
]}

机构：

[1] Univ Eswatini, Dept Math, Private Bag 4, Kwaluseni, Eswatini

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[3] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, POB 94, ZA-0204 Pretoria, South Africa

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2023年 / 47卷 / 06期

关键词：

Variational inequality problem; inverse strongly monotone operator; viscosity iteration; equilibruim problem; demimetric mapping; Hadamard space; PROXIMAL POINT ALGORITHM; FIXED-POINTS; NONEXPANSIVE-MAPPINGS; CONVEX-FUNCTIONS; THEOREMS;

D O I：

10.46793/KgJMat2306.825U

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 and study a viscosity type algorithm in a Hadamard space which comprises of a demimetric mapping, a finite family of inverse strongly monotone mappings and an equilibrium problem for a bifunction. Strong convergence of the proposed algorithm to a common solution of variational inequality problem, fixed point problem and equilibrium problem is established in Hadamard spaces. Nontrivial Applications and numerical examples were given. Our results compliment some results in the literature.

引用

页码：825 / 845

页数：21

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