Banach空间中变分不等式问题和不动点问题的一种求解方法

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2021-04-14 DOI:10.5556/J.TKJM.53.2022.3307

W. Khuangsatung, A. Kangtunyakarn

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引用次数: 0

摘要

本文的研究目的是改进在q-一致光滑Banach空间中求变分不等式问题的解集和严格伪压缩映射的不动点集的公共元素的Halpern迭代过程。我们还引入了一种新的方法来证明q-一致光滑Banach空间中严格伪压缩映射有限族的强收敛定理。并给出了一个数值结果来说明主要定理。

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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A Method for Solving the Variational Inequality Problem and Fixed Point Problems in Banach Spaces

The purpose of this research is to modify Halpern iteration’s process for finding a common element of the set of solutions of a variational inequality problem and the set of fixed points of a strictly pseudo contractive mapping in q-uniformly smooth Banach space. We also introduce a new technique to prove a strong convergence theorem for a finite family of strictly pseudo contractive mappings in q-uniformly smooth Banach space. Moreover, we give a numerical result to illustrate the main theorem.

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.