Viscosity approximation method for split best proximity point and monotone variational inclusion problem

IF 1.7 4区数学 Q2 MATHEMATICS, APPLIED

International Journal of Computer Mathematics Pub Date : 2023-07-22 DOI:10.1080/00207160.2023.2239953

S. Husain, Mohd Asad

引用次数: 0

Abstract

ABSTRACT To address the split best proximity point and monotone variational inclusion problems in real Hilbert spaces, we present and investigate projection and viscosity approximation methods. Under a few reasonable assumptions, we prove some weak and strong convergence theorems for the aforementioned methods. The efficiency of the proposed method is demonstrated by some numerical examples. Some well-known recent results in this area have been improved, generalized, and extended as an outcome of this paper.

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分裂最佳邻近点及单调变分包含问题的粘度近似方法

为了解决实数Hilbert空间中的分裂最佳邻近点和单调变分包含问题，我们提出并研究了投影和黏度近似方法。在一些合理的假设下，我们证明了上述方法的一些弱收敛定理和强收敛定理。数值算例验证了该方法的有效性。作为本文的成果，这一领域中一些著名的最新成果得到了改进、推广和扩展。

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

International Journal of Computer Mathematics 数学-应用数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

5 months

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