HYBRID VISCOSITY APPROXIMATION METHODS WITH GENERALIZED CONTRACTIONS FOR ZEROS OF MONOTONE OPERATORS AND FIXED POINT PROBLEMS

被引：2

作者：

Cheng Q. ^{[1
]}

机构：

[1] Department of Science, Tianjin University of Commerce, Tianjin

来源：

Journal of Nonlinear Functional Analysis | 2022年 / 2022卷

关键词：

Implicit iterative algorithms; Inverse-strongly monotone operator; Maximal monotone operator; Meir-Keeler viscosity approximation method; Nonexpansive mapping;

D O I：

10.23952/jnfa.2022.23

中图分类号：

学科分类号：

摘要：

In this paper, we construct implicit and explicit hybrid viscosity iterative algorithms with generalized contractions for approximating a common solution of the zero point problem with an inverse-strongly monotone mapping and a maximal monotone operator and the fixed point problem of an infinite family of nonexpansive mappings. Under suitable conditions, we obtain two strong convergence theorems in Hilbert space. Some applications and numerical examples are provided to support our main results. © 2022 Journal of Nonlinear Functional Analysis

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