Convergence theorem for an intermixed iteration in $p$-uniformly convex metric space

IF 1.4 4区 数学 Q1 MATHEMATICS
Kanyanee Saechou, A. Kangtunyakarn
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引用次数: 0

Abstract

In this paper, we first introduce the intermixed algorithm in $p$-uniformly convex metric spaces, and then we prove $\Delta$-convergence of the proposed iterative method for finding a common element of the sets of fixed points of finite families of nonexpansive mappings in the framework of complete $p$-uniformly convex metric spaces. Furthermore, we apply our main theorem to prove $\Delta$-convergence to solve the minimization problems in the framework of complete $p$-uniformly convex metric spaces. Finally, we give two examples in $L^p$ spaces and numerical examples to support our main results.
$p$-一致凸度量空间中混合迭代的收敛性定理
本文首先在$p$-一致凸度量空间中引入混合算法,然后证明了在完全$p$-一致凸度量空间框架中求非扩张映射有限族不动点集合的公共元素的迭代方法的$\Delta$-收敛性。进一步,我们应用我们的主要定理证明了$\Delta$-收敛性来解决完全$p$-一致凸度量空间框架下的最小化问题。最后,我们给出了$L^p$空间中的两个例子和数值例子来支持我们的主要结果。
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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来源期刊
Carpathian Journal of Mathematics
Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.40
自引率
7.10%
发文量
21
审稿时长
>12 weeks
期刊介绍: Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.
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