MK VISCOSITY APPROXIMATION FOR FIXED POINTS AND EQUILIBRIUM PROBLEMS IN HILBERT SPACES

被引：0

作者：

Li, Wenling ^{[1
]}

Yang, Shengju ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Peoples R China

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2022年 / 2022卷

关键词：

Approximate solution; Equilibrium problem; Fixed point; Viscosity method; RELATIVELY NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE THEOREMS; WEAK-CONVERGENCE; ALGORITHM;

D O I：

10.23952/jnfa.2022.32

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an MK viscosity iteration is introduced and investigated for solving an equilibrium problem and a fixed point problem with a nonexpansive operator. A theorem of strong convergence is established in the setting of Hilbert spaces. There is no any compact restriction imposed on the operator and the subset involved.

引用

页数：10

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