求解分裂广义平衡问题和不动点问题的粘度算法

IF 1.4 4区 数学 Q1 MATHEMATICS Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI:10.37193/cjm.2022.02.01
Jamilu Abubakar, Jitsupa Deepho
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引用次数: 0

摘要

本文研究了Hilbert空间中非扩张映射中缀族的一个分裂广义平衡问题和不动点问题。我们提出了一个求这些问题的公共解的算法。在温和的假设下,我们用粘性技术建立了该算法生成的序列的强收敛定理通过考虑一些数值说明对所提出的算法进行了改进,并将所提出的方法与文献中已有的算法进行比较。“
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"Viscosity algorithm for solving split generalized equilibrium problem and fixed-point problem"
"This article considers a split generalized equilibrium problem and fixed point problem for infi- nite family of nonexpansive mapping in Hilbert space. We propose an algorithm for finding a common solution of these problems. Under mild assumptions, we establish a strong convergence theorem for the sequence gen- erated by the proposed algorithm using viscosity technique. We present the implementation of the proposed algorithm by considering some numerical illustrations and comparison of the proposed algorithm with an ex- isting algorithm in the literature."
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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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