Extragradient method with inertial iterative technique for pseudomonotone split equilibrium and fixed point problems of new mappings

被引：2

作者：

Farid, Mohammad ^{[1
]}

Peeyada, Pronpat ^{[2
]}

Ali, Rehan ^{[3
]}

Cholamjiak, Watcharaporn ^{[2
]}

机构：

[1] Qassim Univ, Dept Math, Deanship Educ Serv, Buraydah 51452, Saudi Arabia

[2] Univ Phayao, Sch Sci, Phayao 56000, Thailand

[3] Chandigarh Univ, Univ Inst Sci, Dept Math, Chandigarh 140413, India

来源：

JOURNAL OF ANALYSIS | 2024年 / 32卷 / 03期

关键词：

Split equilibrium problem; Nonexpansive mappings; Pseudomonotone; Extragradient method; Iterative methods; Inertial technique; Fixed-point problem; VARIATIONAL-INEQUALITIES; CONVERGENCE THEOREMS; FEASIBILITY PROBLEM; WEAK-CONVERGENCE; COMMON SOLUTION; ALGORITHM;

D O I：

10.1007/s41478-023-00695-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop an inertial iterative algorithm using a new extragradient method to find the common solution for pseudomonotone split equilibrium and split fixed point problems in real Hilbert spaces. Further, we study the convergence analysis for a sequence generated by main algorithm. Furthermore, we construct the numerical example to illustrate the importance of our acquired result.

引用

页码：1463 / 1485

页数：23

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