无算子范数先验知识的半收缩算子SCFPP自适应求解算法

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2019-12-01 DOI:10.2478/auom-2019-0039

D. Kitkuan, P. Kumam, V. Berinde, A. Padcharoen

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引用次数: 7

摘要

摘要研究了Hilbert空间中的分裂公共不动点问题。在不知道算子范数的前提下，我们得到了两个半收缩算子的分裂不动点问题的一个公共解。在一定的附加条件下，得到了一个强收敛定理，并通过数值实例说明了该算法在信号压缩感知和图像恢复中的应用。

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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Adaptive algorithm for solving the SCFPP of demicontractive operators without a priori knowledge of operator norms

Abstract In this paper, we study the split common fixed point problem in Hilbert spaces. We find a common solution of the split common fixed point problem for two demicontractive operators without a priori knowledge of operator norms. A strong convergence theorem is obtained under some additional conditions and numerical examples are included to illustrate the applications in signal compressed sensing and image restoration.

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来源期刊

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.