无算子范数先验知识的半收缩算子SCFPP自适应求解算法

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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