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Remark on the Yosida approximation iterative technique for split monotone Yosida variational inclusions
Computational and Applied Mathematics ( IF 2.998 ) Pub Date : 2020-07-04 , DOI: 10.1007/s40314-020-01231-6
Monairah Alansari , M. Dilshad , M. Akram

In an attractive article, Rahman et al. introduced the split monotone Yosida variational inclusions (SMYVI) and estimate the approximate solution of the split monotone Yosida variational inclusions using nonexpansive property of operators. The main result of this paper has flaw and not correct in the present form. We modify the SMYVI and give the strong convergence theorem under some new assumptions. We also give a weak convergence theorem to solve modified split Yosida variational inclusion problem using properties of averaged operators with three new supporting lemmas.

中文翻译:

关于分裂单调Yosida变分包含的Yosida逼近迭代技术的评论

在一篇引人入胜的文章中,Rahman等人。介绍了分裂单调的Yosida变分包含物(SMYVI),并使用算子的非扩张性质来估计分裂单调的Yosida变分包含物的近似解。本文的主要结果存在缺陷,目前的形式是不正确的。我们修改了SMYVI,并在一些新的假设下给出了强收敛定理。我们还给出了一个弱收敛定理,以利用带有三个新支持引理的平均算子的性质来解决修正的分裂的Yosida变分包含问题。
更新日期:2020-07-04
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