Solving the multiple-set split feasibility problem and the equilibrium problem by a new relaxed CQ algorithm

被引：1
|
作者：
Kankam, Kunrada [1 ]
Srinak, Pittaya [1 ]
Cholamjiak, Prasit [1 ]
Pholasa, Nattawut [1 ]
机构：
[1] Univ Phayao, Sch Sci, Mae Ka 56000, Phayao, Thailand
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2020年 / 69卷 / 03期
关键词：
Multiple-set split feasibility problem; Equilibrium problem; Relaxed CQ algorithm; Hilbert space; Weak and strong convergence; Bounded linear operator; CONVERGENCE THEOREMS;
D O I：
10.1007/s12215-019-00458-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a new kind of a relaxed CQ algorithm to find the solution of the multiple-set split feasibility problem and the equilibrium problem in a Hilbert space. We prove weak and strong convergence theorems to the proposed algorithm under some mild conditions. Finally, we provide some numerical experiments to show the efficiency and the implementation of our method.
引用
收藏
页码：1131 / 1148
页数：18
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