分裂平衡问题、有限族非扩张映射和变分不等式组合问题的公共解的迭代方法

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2021-02-05 DOI:10.5556/J.TKJM.52.2021.3563

Ihssane Hay, A. Bnouhachem, T. Rassias

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引用次数: 0

摘要

本文研究了在实数Hilbert空间中求分裂平衡问题与有限族非扩张映射组合问题和变分不等式组合问题的公解的迭代算法。进一步，我们证明了由所提出的迭代方法生成的序列强收敛于这些问题的一个公共解。最后给出了一个数值算例，说明了该方法的有效性和收敛性。本文的结果和方法推广、推广和统一了文献中一些已知的结果。

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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An Iterative Method for a Common Solution of a Combination of the Split Equilibrium Problem, a Finite Family of Nonexpansive Mapping and a Combination of Variational Inequality Problem

The present paper aims to deal with an iterative algorithm for finding common solution of the combination of the split equilibrium problem and a finite family of non-expansive mappings and the combination of variational inequality problem in the setting of real Hilbert spaces. Further, we prove that the sequences generated by the proposed iterative method converge strongly to a common solution to these problems. A numerical example is presented to illustrate the proposed method and convergence result. The results and method presented in this paper generalize, extend and unify some known results in the literatures.

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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.