A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2022-08-26 DOI:10.1155/2022/9568060

Takanori Ibaraki, Shunsuke Kajiba, Y. Takeuchi

引用次数: 0

Abstract

In this paper, by using properties of attractive points, we study an iteration scheme combining simplified Baillon type and Mann type to find a common fixed point of commutative two nonlinear mappings in Hilbert spaces. Then, we apply the obtained results to prove a new weak convergence theorem.

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Hilbert空间中两个非线性映射的公共不动点的弱收敛定理

本文利用吸引点的性质，结合简化Baillon型和Mann型，研究了Hilbert空间中可交换两个非线性映射的一个公共不动点的迭代方案。然后，我们将所得结果应用于证明一个新的弱收敛定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.