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
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
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页码:1463 / 1485
页数:23
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